Publications from 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1998, 1997 and 1996 are listed below.

Books

P.J. Aston (Ed) Nonlinear Mathematics and Its Applications, Cambridge University Press (1996).

T.J. Bridges & J.E. Furter Singularity Theory and Equivariant Symplectic Maps, Springer (1994).

K. Brucks & H. Bruin Topics from one-dimensional dynamics, London Mathematical Society, Student Texts 62, Cambridge University Press (2004).

P. Deuflhard, J. Hermans, B. Leimkuhler, A.E. Mark, S. Reich, R.D. Skeel (Eds.) Computational Molecular Dynamics: Challenges, Methods, Ideas, Springer (1998).

R. Hoyle Pattern formation: An Introduction to Methods, Cambridge University Press (2006).

P.E. Hydon Symmetry Methods for Ordinary Differential Equations, Cambridge University Press (2000).

J. Norbury and I. Roulstone, (Eds.) Large-scale atmosphere-ocean dynamics: Vol. 1 Analytical methods and numerical models; Vol. 2 Geometric methods and models, Cambridge University Press (2002).

R.M. Roberts and I.N. Stewart (Eds.) Singularity Theory and its Applications (Warwick 1989), Part II Springer Lecture Notes in Maths, 1463 (1991).

A. Torrielli, Chapter Title: Focus on quantum field theory, O. Kovras (Ed) Focus on quantum field theory, Nova Science Pub Inc. (2005).

Papers 2011

P.J. Aston, G. Derks, A. Raji, B.M. Agoram & P.H. van der Graaf [2011] Mathematical Analysis of the Pharmacokinetic-Pharmacodynamic (PKPD) Behaviour of Monoclonal
Antibodies: Predicting in vivo Potency, J. Th. Biol., 281, 113-121. pdf preprint, DOI

H. Bruin & J. Bobok [2011] The topological entropy of Banach spaces, accepted in the Journal of Difference Equations and Applications. Preprint pdf

H. Bruin & M. Todd [2011] Transience and thermodynamic formalism for infinitely branched interval maps. Preprint pdf

H. Bruin & G. Clack [2011] Inducing and unique ergodicity of double rotations. Preprint pdf

G. Derks & G. Gaeta [2011] A minimal model of DNA dynamics in interaction with RNA-Polymerase, Physica D, 240, 1805-1817. pdf preprint, DOI

G. Derks, A. Doelman, C.J.K. Knight, & H. Susanto [2011] Pinned fluxons in a Josephson junction with a finite length inhomogeneity, Eur. J. Appl. Math., to appear 2011. pdf preprint, DOI

G. Derks, S. Maad & B. Sandstede [2011] Perturbations of embedded eigenvalues for the planar bilaplacian, J. Func. Anal., 260, 340-398. pdf preprint, DOI

U. Ebert, F. Brau, G. Derks, W. Hundsdorfer, C.-Y. Kao, C. Li, A. Luque, B. Meulenbroek, S. Nijdam, V. Ratushnaya, L. Schäfer, & S. Tanveer [2011] Multiple scales in streamer discharges, with an emphasis on moving boundary approximations, Nonlinearity 24, C1-C26, 2011. DOI

T.H.G. Ezard, P.N. Pearson, T. Aze & A. Purvis [2011] The Meaning of Birth and Death (in Macroevolutionary Birth-Death Models). Biol Lett. DOI

T.H.G. Ezard, T. Aze, P.N. Pearson & A. Purvis [2011] Interplay between Changing Climate and Species' Ecology Drives Macroevolutionary Dynamics. Science, 332, 349-351. DOI

R.G. Forbes & J.H.B. Deane [2011] Transmission coefficients for the exact triangular barrier: an exact general analytical theory that can replace Fowler & Nordheim's 1928 theory Proceedings of the Royal Society of London, Series A 467 (2134), 2927-2947.

I. Melbourne & D. Terhesiu [2011] Operator renewal theory and mixing rates for dynamical systems with infinite measure, Inventiones, online 12 October 2011. pdf

I. Melbourne & A.M. Stuart [2011] A note on diffusion limits of chaotic skew product flows, Nonlinearity 24, 1361-1367. pdf file 

I. Melbourne, V. Niţică & A. Török  [2011] Transitivity of Heisenberg group extensions of hyperbolic systems, Ergodic Theory & Dynamical Systems, online 5 April 2011. pdf 

I. Melbourne, & A. Török [2011] Convergence of moments for Axiom A and nonuniformly hyperbolic flows, Ergodic Theory & Dynamical Systems, online 11 June 2011. pdf

A.C. Skeldon & J. Porter [2011] Scaling properties of weakly nonlinear coefficients in the Faraday problem, Phys Rev E 84, 016209. pdf

A. Torrielli [2011] Review of AdS/CFT Integrability, Letters in Mathematical Physics, Chapter VI.2: Yangian Algebra, 1-19.

A. Torrielli [2011] Yangians, S-matrices and AdS/CFT, J. Phys. A44, 263001. available online, DOI. Unpublished.

M.R. Turner & M.A. Berger [2011] Braiding exponents as a measure of mixing in coherent vortices. Fluid Dyn. Res. 43, 035501.

M.R. Turner, J.J. Healey, S.S. Sazhin & R. Piazzesi [2011] Stability analysis and break-up length calculations for steady planar liquid jets, J. Fluid Mech. 668, 384-411.

M.R. Turner, J.J. Healey, S.S. Sazhin & R. Piazzesi [2011] Wave packet analysis and break-up length calculations for accelerating planar liquid jets, Submitted.

M.R. Turner [2011] Boundary layer receptivity analysis to free-stream acoustic waves: a comparison between a parabolized stability equation DNS approaches, Submitted.

M.R. Turner, S.S. Sazhin, J.J. Healey, C. Crua & S.B. Martynov [2011] A breakup model for transient Diesel fuel jets, Submitted.

Papers 2010

H. Alemi Ardakani & T.J. Bridges [2010] Dynamic coupling between shallow-water sloshing and horizontal vehicle motion, Euro. J. Applied Math. (in press). .pdf file

H. Alemi Ardakani & T.J. Bridges [2010] Shallow-water sloshing in vessels undergoing prescribed rigid-body motion in three dimensions, J. Fluid Mech. (in press). .pdf file

D. Avitabile & T.J. Bridges [2010] Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity, Physica D 239, 1038-1047. .pdf file

N. Beisert, C. Ahn, L.F. Alday,  Z. Bajnok, J.M. Drummond, L. Freyhult, N. Gromov, R.A. Janik, V. Kazakov, T. Klose, G.P. Korchemsky, C. Kristjansen, M. Magro, T. McLoughlin, J.A. Minahan, R.I. Nepomechie, A. Rej, R. Roiban, S. Schafer-Nameki, C. Sieg, M. Staudacher, A. Torrielli, A.A Tseytlin, P. Vieira, D. Volin, K. Zoubos [2010] Review of AdS/CFT Integrability: An Overview, available online. Unpublished.

T.J. Bridges, P.E. Hydon & J.K. Lawson [2010] Multisymplectic structures and the variational bicomplex, Mathematical Proceedings of the Cambridge Philosophical Society 148, 159-178. .pdf file

H. Bruin, M. Barge, L. Jones & L. Sadun [2010] Homological Pisot Substitutions and Exact Regularity, Isr. J. Math. 1, 1-20 .pdf file

H. Bruin & S Stimac [2010] On isotopy and unimodal inverse limit spaces, to appear in Discrete and Continuos Dynamical Systems. 

H. Bruin & R. Leplaideur [2010] Renormalization and thermodynamic formalism in subshifts. pdf

H. Bruin, M. Demers & I. Melbourne [2010] Existence and convergence properties of physical measures for certain dynamical systems with holes, Ergodic Theory Dyn. Syst. 30, 687-728. pdf

R.G. Forbes & J.H.B. Deane [2010] A comparison of approximations for the principal Schottky-Nordheim barrier function v(f), Technical Digest, 22nd Intern. Journal of Vacuum Science and Technology 28, 2CA33-42. available online

K.U. Kristiansen, P.L. Palmer & M. Roberts [2010] Relative motion of satellites exploiting the super-integrability of Kepler's problem, Celestial Mechanics and Dynamical Astronomy. available online

C. Schubert & A. Torrielli [2010] Open string pair creation from worldsheet instantons, available online. Unpublished. 

H. Susanto & G. Derks [2010] Localized mode interactions in 0-π Josephson junctions, Phys. Rev B, 82, 132301. pdf preprint, DOI

Papers 2009

G. Arutyunov, M. De Leeuw & A. Torrielli [2009] Universal blocks of the AdS/CFT$ AdS/CFT scattering matrix, Journal of High Energy Physics, Issue 5.

G. Arutyunov, M. De Leeuw, R. Suzuki & A. Torrielli [2009] Bound state transfer matrix for AdS5×S5 superstring, Journal of High Energy Physics, Issue 10.

G. Arutyunov, M.D. Leeuw & A. Torrielli [2009] A The Bound State S-Matrix for AdS5 x S5 Superstring, Nucl. Phys. B819, 319-350. available online. DOI. Unpublished.

P.J. Aston & H. Mir [2009] Period-doubling/symmetry-breaking mode interactions in iterated maps, Physica D 238, 1992-2002.

M.V. Bartuccelli, J.H.B. Deane, G. Gentile & F. Schilder [2009] Arnold tongues for a resonant injection-locked frequency divider: analytical and numerical results, Nonlinear Analysis: Real World Applications 11, 3344-3362 available online

M.V. Bartuccelli, J.H.B. Deane & G. Gentile [2009] Frequency locking in an injection-locked frequency divider equation, Proceedings of the Royal Society of London, Series A 465, 283-306.

T.J. Bridges [2009] Degeneracy of the action-frequency map: a mechanism for homoclinic bifurcation of invariant tori, Physical Review E 79, 066603.

T.J. Bridges [2009] Wave breaking and the surface velocity field for three-dimensional water waves, Nonlinearity 22, 947-953.

T.J. Bridges & N.M. Donaldson [2009] Criticality manifolds and their role in the generation of solitary waves for two-layer flow with a free surface, European Journal of Mechanics B/Fluids 28, 117-126.

F. Chardard, F. Dias & T.J. Bridges [2009] On the Maslov index of multi-pulse homoclinic orbits, Proceedings of the Royal Society of London A 465, 2897-2910.

F. Chardard, F. Dias & T.J. Bridges [2009] Computing the Maslov index of solitary waves. Part 1: Hamiltonian systems on a four-dimensional phase space, Physica D 238, 1841-1867.

H. Bruin & M. Todd [2009] Equilibrium states for interval maps: the potential -t log |Df|, Ann. Sci. Ecol Norm. Sup. 42, 559-600. .pdf file

H. Bruin & J. Hawkins [2009] Rigidity of smooth one-sided Bernoulli endomorphisms, to appear in the New York Journal of Maths. .pdf file

H. Bruin & M. Todd [2009] Return time statistics for invariant measures for interval maps with positive Lyapunov exponent, Stochastics and Dynamics 9, 81-100. .pdf file

H. Bruin & J.H.B. Deane [2009] Piecewise contractions are asymptotically periodic, Procceedings of the AMS 137, 1389-1395. pdf file

H. Bruin, A. Kaffl & D. Schleicher [2009] Existence of quadratic Hubbard trees, Fund. Math. 202 251-279. .pdf file

H. Bruin, M. Nicol & D. Terhesiu [2009] On Young towers associated with infinite measure preserving transformations, Stoch. and Dynamics 9 635-655. .pdf file

H. Bruin & S. van Strien [2009] Monotonicity of entropy for real multimodal maps. .pdf file

H. Bruin, M. Barge & S. Stimac [2009] The Ingram Conjecture. .pdf file July 2011. pdf

H. Bruin & V.J. López [2009] On the Lebesgue measure of Li-Yorke pairs for interval maps, Commun. Math. Phys 299, 523-560 .pdf file, available online

S. Delahaies & I. Roulstone [2009] Hyper-Kähler geometry and semi-geostrophic theory, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466 195-211. available online

G. Derks [2009] Existence and Uniqueness of Solutions of Initial Value Problems, Encyclopedia of Complexity and Systems Science, R.A. Meyers (Ed.), 3255-3267. DOI

R.G. Forbes & J.H.B. Deane [2009] A comparison of approximations for the principal Schottky-Nordheim barrier function v(f), Technical Digest, 22nd Intern. Vacuum Nanoelectronics Conf., Hamamatsu, Japan, (IEEE, Piscataway, NJ), 97 (July).

G. Gottwald & I. Melbourne [2009] On the validity of the 0-1 test for chaos, Nonlinearity 22 1367-1382. .pdf file

S.A. Gourley & Y. Kuang [2009] Dynamics of a neutral delay equation for an insect population with long larval and short adult phases, J. Differential Equations 246, 4653-4669. available online

D. Keedwell [2009] The existence of Buchsteiner and conjugacy-closed quasigroups. Europ. J. Combin., 30, 1382-1385.

D. Keedwell & V. Kala [2009] Addendum to "The existence of Buchsteiner and conjugacy-closed quasigroups" Europ. J. Combin., 30, 1386.

D. Keedwell [2009] Realizations of loops and groups defined by short identities. Comment. Math. Univ. Carolinae, 50, 373-383.

D. Keedwell [2009] Corrigendum to Realizations of loops and groups defined by short identities. Comment. Math. Univ. Carolinae, 50, 639-640.

F.E. Laine-Pearson & P.E. Hydon [2009] Inertial particle motion in recirculating Stokes flow, Stud. Appl. Math. 122 139-152. available online

D.J.B. Lloyd & B. Sandstede [2009] Localized radial solutions of the Swift-Hohenberg equation, Nonlinearity 22(2) 485–524. .pdf file

I. Melbourne, V. Niţică & A. Török [2009] Transitivity of Euclidean-type extensions of hyperbolic systems, Ergodic Theory Dyn. Syst. 29 1585-1602. .pdf file

I. Melbourne & M. Nicol [2009] A vector-valued almost sure invariance principle for hyperbolic dynamical systems, Annals of Probability 37 478-505. .pdf file

I. Melbourne [2009] Decay of Correlations for Slowly Mixing Flows Proc. London Math. Soc. 98 163-190. .pdf file

I. Melbourne [2009] Large and moderate deviations for slowly mixing dynamical systems. Proc. Amer. Math. Soc. 137 1735-1741. .pdf file

I. Roulstone, B. Banos, J.D. Gibbon & V.N. Roubtsov [2009] A geometric interpretation of coherent structures in Navier–Stokes flows. available online

G.T. Reed, G. Mashanovich, F.Y. Gardes, R.M. Gwilliam, N.M. Wright, D.J. Thomson, B.D. Timotijevic, K.L. Litvinenko, W.R. Headley, A.J. Smith, A.P. Knights, P.E. Jessop, N.G. Tarr & J.H.B. Deane [2009] Silicon Photonics at the University of Surrey, (invited) SPIE Europe, Microtechnologies for the New Millenium, Dresden, Germany, 4-6 May 2009.

J.A. Sherratt, S.A. Gourley, N.J. Armstrong & K.J. Painter [2009] Boundedness of solutions of a non-local reaction-diffusion model for adhesion in cell aggregation and cancer invasion, European J. Appl. Math. 20 123-144. available online

H. Shiozawa, A.C. Skeldon, D.J.B. Lloyd, V. Stolojan, D.C. Cox & S.R.P. Silva [2010] Spontaneous emergence of long-range shape symmetry, Nano  Lett. 11, 160-163. pdf 

F. Spill & A. Torrielli [2009] On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian. available online. DOI. Unpublished.

M.R. Turner & P.W. Hammerton [2009] Analysis of the unstable Tollmien-Schlichting mode on bodies with a rounded leading edge using the parabolized stability equation. J. Fluid Mech. 623 167-185

M.R. Turner & A.D. Gilbert [2009] Spreading of two-dimensional axisymmetric vortices exposed to a rotating strain field. J. Fluid Mech. 630 155-177

M.R. Turner, A.P. Bassom & A.D. Gilbert [2009] Diffusion and the formation of vorticity staircases in randomly strained two-dimensional vortices. J. Fluid Mech. 638,  49-72

M.R. Turner, J. Thuburn & A.D. Gilbert [2009] The influence of periodic islands in the flow on a scalar tracer in the presence of a steady source. Phys. Fluids. 21 (6)

N.M. Wright, D.J. Thomson, K.L. Litvinenko, W.R. Headley, A.J. Smith, A.P. Knights, J.H.B. Deane, F.Y. Gardes, G.Z. Mashanovich, R. Gwilliam & G.T. Reed [2009] Free carrier lifetime modification in silicon, Photonics West.

C. Wulff & F. Schilder [2009] Numerical bifurcation of Hamiltonian relative periodic orbits, SIAM J. Appl. Dyn. Syst. 8(3), 931-966. .pdf file

Papers 2008

P. Balint & I. Melbourne [2008] Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows J. Stat. Phys. 133, 435-447.  .pdf file

M.V. Bartuccelli, A. Berretti, J.H.B. Deane, G. Gentile & S.A. Gourley [2008] Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator, Nonlinear Anal. Real World Appl. 9 1966-1988. available online

M. Beck, J. Knobloch, D.J.B. Lloyd, B. Sandstede & T. Wagenknecht [2008] Snakes, ladders, and isolas of localised patterns, SIAM J. Math. Anal. 41(3), 936-972. .pdf file

J. Bevan & X. Yan. [2008] Minimizers with topological singularities in two dimensional elasticity. ESAIM: Control, Optimization and Calculus of Variations, 14, No.1, 192-209 .pdf file

K.B. Blyuss & G. Derks [2008] Transverse intersection of invariant manifolds in perturbed multi-symplectic systems Dynamical Systems, 23, 219-256 .pdf file

T.J. Bridges [2008] Degenerate relative equilibria, curvature of the momentum map and homoclinic bifurcation, Journal of Differential Equations 244, 1629-1674.

T.J. Bridges [2008] Conservation laws in curvilinear coordinates: a short proof of Vinokur's Theorem using differential forms, Applied Mathematics and Computation 202, 882-885.

H. Bruin, J. Al-Khal & M. Jakobson [2008] New examples of S-unimodal maps with a sigma-finite absolutely continuous invariant measure, Discrete and Continuous Dynamical Systems, 22, no. 1-2, 35-61 .pdf file

H. Bruin & J.H.B Deane [2008] Piecewise contractions are asymptotically periodic, Proc. Amer. Math. Soc. 137, 1389-1395. pdf

H. Bruin, J. Rivera-Letelier, W. Shen & S. van Strien [2008] Large derivatives, backward contraction and invariant densities for interval maps, Inventiones Mathematicae 172 509-533. .pdf file

H. Bruin & M. Todd [2008] Equilibrium states for interval maps: potentials with sup φ - inf φ < h _top(f), Commun. Math. Phys. 283, 579-611. available online  Dec 2010 pdf

H. Bruin & M.Todd [2008] Return time statistics for invariant measures for interval maps with positive Lyapunov exponent, Version Aug 2008 pdf. Stochastics and Dynamics 9  2009, 81-100

H. Bruin, M. Jakobson & G. Levin [2008] New examples of topologically equivalent S-unimodal maps with different metric properties, Contemp. Math. 469, 119-139. .pdf file

H. Bruin & D. Schleicher [2008] Admissibility of kneading sequences and structure of Hubbard trees for quadratic polynomials. Journal Lond. Math. Soc. 78, 502-522. .pdf file

H. Bruin [2008] (Non)invertibility of Fibonacci-like unimodal maps restricted to their critical omega-limit sets. .pdf file

H. Bruin, M. Demers & I. Melbourne [2008] Existence and convergence properties of physical measures for certain dynamical systems with holes, to appear in Ergod. Th. and Dyn. Sys. .pdf file

P-L. Buono, J.S.W. Lamb & M. Roberts [2008] Bifurcation and branching of equilibria in reversible equivariant vector fields Nonlinearity 21, 625-660 .pdf file

P.G. Daniels, D. Ho & A.C. Skeldon [2008] Solutions for weakly nonlinear convection in a two-dimensional channel, IMA J of Applied Maths 73, 873-901.

J.H.B. Deane & R.G. Forbes [2008] Formal derivation of an exact series expansion for the Principal Schottky-Nordheim Barrier Function v, using the Gauss hypergeometric differential equation Journal of Physics A (mathematical and general) 41, 39, 395301, 9.

G. Derks, U. Ebert & B. Meulenbroek [2008] Laplacian instability of planar streamer ionization fronts - an example of pulled front analysis, Journal Nonl. Science, 18, 551-590. And an short erratum: Journal Nonl. Science, 18, 591-592.

G. Derks, S. Maad & B. Sandstede [2008] Perturbations of embedded eigenvalues for the bilaplacian on a cylinder. Discrete and Continuous Dynamical Systems A, 21, 801-821 .pdf file

M. Efendiev & S. Zelik [2008] Finite and infinite dimensional attractors for porous media equations Proc. R. Soc. London A, 96, 107-135 .pdf file

G. Gottwald and I. Melbourne [2008] Comment on "Reliability of the 0-1 test for chaos" Phys. Rev. E 77, 028201. .pdf file

S.A. Gourley, R. Liu & J. Wu [2008] Spatiotemporal patterns of disease spread: interaction of physiological structure, spatial movements, disease progression and human intervention. Structured population models in biology and epidemiology, 165-208, Lecture Notes in Math., 1936, Springer, Berlin.

S.A. Gourley & X. Zou [2008] A mathematical model for the control and eradication of a wood boring beetle infestation. SIAM J. Appl. Math. 68, 1665-1687. available online

S.A. Gourley, Y. Kuang & J.D. Nagy [2008] Dynamics of a delay differential equation model of hepatitis B virus infection. J. Biol. Dyn. 2, 140-153. available online

D. Keedwell [2008] Graeco-Latin squares. Revised and updated for online version of "Encyclopaedia of Statistical Sciences" John Wiley and Sons, New Jersey.

D. Keedwell [2008] When is it hard to show that a quasigroup is a loop? Comment. Math. Univ. Carolinae 49, 2, 241-247.

N. Kutz and B. Sandstede [2008] Theory of passive harmonic mode-locking using waveguide arrays Optics Express 16 636-650.

F.E. Laine-Pearson [2008] The stability of two, three and four wave interactions of a prototype system, Studies in Applied Mathematics 120 17-34.

F.E. Laine-Pearson and P.E. Hydon [2008] The carousel effect in alveolar models ASME J. Biomech. Eng. 130 021016.

D.J.B. Lloyd, B. Sandstede, D Avitabile & AR Champneys [2008] Localized hexagon patterns in the planar Swift-Hohenberg equation, SIAM J. Appl. Dyn. Sys. 7(3) 1049-1100. .pdf file, hexagon movie, ladder movie

E.L. Mansfield & P.E. Hydon [2008] Difference forms, Found. Comp. Math. 8 427-467. .pdf file

T. Matsumoto, S. Moriyama, and A. Torrielli [2008] A secret symmetry of AdS/CFT S-matrix, Published proceedings: International Journal of Modern Physics A, Issue 14-15, Vol 23, 2262-2263.

N. Meejun, A.C. Skeldon, U. Tuzun and C. O'Sullivan [2008] Wavelet analysis of DEM simulations of planar biaxial strain, Granular Matter 10, 389-398.

I. Melbourne and G. Gottwald [2008] Power spectra for deterministic chaotic dynamical systems. Nonlinearity 21, 179-189 .pdf file

I. Melbourne and M. Nicol [2008] Large Deviations for Nonuniformly Hyperbolic Systems. Trans. Amer. Math. Soc. 360, 6661-6676..pdf file

G. Patrick, M. Roberts and C. Wulff [2008] Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems Nonlinearity 21, 325-352 .pdf file

B. Sandstede and A. Scheel [2008] Hopf bifurcation from viscous shock waves SIAM Journal on Mathematical Analysis 39, 2033-2052.

B. Sandstede and A. Scheel [2008] Relative Morse indices, Fredholm indices, and group velocities Discrete and Continuous Dynamical Systems A 20, 139-158 .pdf file

A. Torrielli [2008] Structure of the string R-matrix, J. Phys. A42, 055204. available online. DOI. Unpublished.

M.R. Turner, A.D. Gilbert and A.P. Bassom [2008] Neutral modes of a two-dimensional vortex and their link to persistent cat's eyes. Phys. Fluids. 20 (2)

M.R. Turner and A.D. Gilbert [2008] Thresholds for the formation of satellites in two-dimensional vortices, J. Fluid Mech. 614 381-405.

M.R. Turner, A.D. Gilbert and J. Thuburn [2008] Effective diffusion of scalar fields in a chaotic flow.  Phys Fluids. 20 (10)

S. Wokes, P.L. Palmer & M. Roberts [2008] Classification of two-dimensional fixed-sun-angle solar sail trajectories, Journal of Guidance, Control, and Dynamics 31, 1249-1258. available online

C. Wulff [2008] A Hamiltonian analogue of the meandering transition, SIAM J. Appl. Dyn. Systems 7(4), 1213-1246. .pdf file

Papers 2007

A.T. Anghel, R.B. Hoyle, I.M. Irurzun, M.R.E. Proctor and D.A. King [2007] Theoretical study of pattern formation during the catalytic oxidation of CO on Pt{100} at low pressures. Journal of Chemical Physics, 127, 164711.

P.J. Aston and R. Shail [2007] The dynamics of a bouncing superball with spin Dynamical Systems 22, 291-322 .pdf file

M.V. Bartuccelli, J.H.B. Deane, G. Gentile [2007]  Periodic attractors for the varactor equation, Dyn. Syst.  22 no. 3, 365--377 .pdf file

M.V. Bartuccelli, J.H.B. Deane and G. Gentile [2007] Globally and locally attractive solutions for quasi-periodically forced systems Journal of Mathematical Analysis and Applications, 328 (1) 699-714 .pdf file

W. Bietenholz, A. Bigarini and A. Torrielli [2007] Area-preserving diffeomorphisms in gauge theory on a non-commutative plane: A lattice study, Journal of High Energy Physics, Issue 8.

W. Bietenholz, A. Bigarini, J. Nishimura, Y. Susaki, A. Torrielli and J. Volkholz [2007] Simulation Results for U(1) Gauge Theory on Non-Commutative Spaces, PoSLAT2007, 049. available online. Unpublished.

T.J. Bridges and N.M. Donaldson [2007] Reappraisal of criticality for two-layer flows and its role in the generation of internal solitary waves, Phys. Fluids 19: 072111 .pdf file

T.J. Bridges and F. Dias [2007] Enhancement of the Benjamin-Feir instability with dissipation Phys. Fluids 19: 104104.pdf file

H. Bruin and M. Todd [2007] Equilibrium states for interval maps: the potential -t log |Df|, Ann. Sci. Ecol Norm. Sup. 42 2009, 559-600. Preprint 2007, Revised version of January 2009. pdf

H. Bruin and J. Rivera-Letelier, W. Shen and S. van Strien [2007] Large derivatives, backward contraction and invariant densities for interval maps, Preprint version 2007. pdf Inventiones Mathematicae 172 (2008), 509-533. The original publication is available online

H.Bruin and J. Hawkins [2007] Rigidity of smooth one-sided Bernoulli endomorphisms, Preprint 2007 - revised 2009, pdf New York Journal of Maths. 15 (2009), 451-483.

H. Bruin [2007] Combinatorics of (Fibonacci-like) unimodal maps. Notes used for Spring School at Luminy, April 2006, "Séminaires et Congrès" 20, 17-37 (2010). pdf

D. Chan and I. Melbourne [2007]  A geometric characterisation of resonance in Hopf bifurcation from relative equilibria, Physica D 234, 98-104  .pdf file

C.J. Cotter, D.D. Holm and P.E. Hydon [2007] Multisymplectic formulation of fluid dynamics using the inverse map, Proc. Roy. Soc. Lond. A 463, 2671-2687. .pdf file

G. Derks, A. Doelman, S.A. van Gils, and H. Susanto [2007] Stability analysis of p-kinks in a 0-p Josephson junction SIAM J. Applied Dynamical Systems, 6, 99-141 .pdf file

I. Falconer, G. Gottwald, I. Melbourne and K. Wormnes [2007] Application of the 0-1 Test for Chaos to Experimental Data SIAM J. Appl. Dyn. Sys. 6, 395-402 .pdf file

M. Field, I. Melbourne and A. Török [2007] Stability of mixing and rapid mixing for hyperbolic flows Annals of Mathematics 166, 269-291 .pdf file

R.G. Forbes and J.H.B. Deane [2007] Reformulation of the standard theory of Fowler-Nordheim tunnelling and cold field electron emission, Proceedings of the Royal Society of London, Series A, 463 2907-2927.pdf file

G. Gentile, M.V. Bartuccelli and J.H.B. Deane [2007] Summation of divergent series and Borel summability for strongly dissipative differential equations with periodic or quasi-periodic forcing terms, Journal of Mathematical Physics 466 062704, 20  .pdf file

G. Gentile, M.V. Bartuccelli and J.H.B. Deane [2007] Bifurcation curves of subharmonic solutions and Melnikov theory under degeneracies, Rev. Math. Phys. 19no. 3, 307--348.

A. Ghazaryan and B. Sandstede [2007] Nonlinear convective instability of Turing-unstable fronts near onset: A case study. SIAM Journal on Applied Dynamical Systems 6 319-347.

E.J. Godolphin and J.D. Godolphin [2007] A note on the information matrix for multiplicative seasonal autoregressive moving average models, Journal of Time Series Analysis, 28 783-791.

S.A. Gourley, R. Liu and J. Wu [2007] Eradicating vector-borne diseases via age-structured culling. J. Math. Biol. 54 no. 3, 309-335.

S.A. Gourley R. Liu and J. Wu [2007] Some vector borne diseases with structured host populations: extinction and spatial spread SIAM J. Appl. Math. 67 no. 2, 408--433 (electronic).

M. Grasselli, V. Pata, A. Miranville and S. Zelik [2007] Long time behavior of a parabolic-hyperbolic phase-field system with a singular potential, Math. Nachr., 13-14, 1475-1509 .pdf file

I. Heckenberger, F. Spill, A. Torrielli and H. Yamane [2007] Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid, Publ. Res. Inst. Math. Sci.Kyoto B8, 171. available online. Unpublished.

M. Holland and I. Melbourne [2007] Central limit theorems and invariance principles for Lorenz attractors. J London Math Soc 76 345-364 .pdf file

R.B. Hoyle, A.T. Anghel, M.R.E. Proctor and D.A. King [2007] Pattern formation during the oxidation of CO on Pt{100}: a mesoscopic model Physical Review Letters, 98, 226102. Copyright (2007) by the American Physical Society. .pdf file

D. Keedwell [2007] On Sudoku squares, Bull. ICA, 50, 52-60.

J.S.W. Lamb and I. Melbourne [2007] Normal form theory for relative equilibria and relative periodic solutions Trans. Amer. Math. Soc. 359 4537-4556 .pdf file

T. Matsumoto, S. Moriyama and A. Torrielli [2007] A secret symmetry of the AdS/CFT S-matrix, Journal of High Energy Physics, Issue 9.

I. Melbourne [2007] Rapid decay of correlations for nonuniformly hyperbolic flows Trans. Amer. Math. Soc. 359 2421-2441 .pdf file

A. Mielke and S. Zelik [2007] Infinite-dimensional hyperbolic sets and spatio-temporal chaos in reaction-diffusion systems in R^n Jour. Dyn. Diff. Eqns, 19, no. 2, 333-389 .pdf file

A. Miranville and S. Zelik [2007] Finite-dimensionality of attractors for degenerate equations of elliptic-parabolic type Nonlinearity, 8 1773-1797 .pdf file

A. Miranville, V. Pata and S.Zelik [2007] Exponential Attractors for Singularly Perturbed Damped Wave Equations: A Simple Construction Asymptotic Analysis, 53 no. 1-2, 1-12 .pdf file

S. Moriyama and A. Torrielli [2007] A Yangian double for the AdS/CFT classical r-matrix, Journal of High Energy Physics, Issue 6.

V. Pata and S. Zelik [2007] Attractors and their regularity for the 2D wave equation with nonlinear damping, Adv. Math. Sci. Appl., 17 no. 1, 225-237 .pdf file

V. Pata and S. Zelik [2007] A result on the existence of global attractors for semigroups of closed operators. Commun. Pure Appl. Anal., 6 no. 2, 481-486 .pdf file

J.D.M. Rademacher, B. Sandstede and A Scheel [2007] Computing absolute and essential spectra using continuation Physica D 229 166-183 .pdf file

O.G. Rasin and P.E. Hydon [2007] Conservation laws for integrable difference equations, J. Phys. A: Math. Theor. 40 12763-12773. available online

O.G. Rasin and P.E. Hydon [2007] Symmetries of integrable difference equations on the quad-graph, Stud. Appl. Math. 119 253-269. .pdf file

R. Sahadevan, O.G. Rasin and P.E. Hydon [2007] Integrability conditions for nonautonomous quad-graph equations, J. Math. Anal. Appl. 331 712-726 .pdf file

B. Sandstede [2007] Evans functions and nonlinear stability of travelling waves in neuronal network models, International Journal of Bifurcation and Chaos 17 2693-2704.

B. Sandstede and A. Scheel [2007] Period doubling of spiral waves and defects, SIAM Journal on Applied Dynamical Systems 6 494-547.

A.C. Skeldon and G. Guidoboni [2007]  Pattern selection for Faraday waves in an incompressible viscous fluid , SIAM J. App. Maths. 67 1064-1100 .pdf file

A. Torrielli [2007] Classical r matrix of the su(2|2) super Yang-Mills spin chain, Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol 75, Issue 10.

D. Turaev, S. Zelik and A. Vladimirov [2007] Chaotic bound states of localized structures in the complex Ginzburg-Landau equation Phys. Rew. E, 75, 045601 .pdf file

M.R. Turner [2007] Far downstream analysis for the Blasius boundary-layer stability problem. Q. J. Mech. Appl. Math. 60 (3) 255-274.

M.R. Turner and A.D. Gilbert [2007] Linear and nonlinear decay of cat's eyes in two-dimensional vortices, and the link to Landau poles. J. Fluid Mech. 593 255-279.

L.R. Watkinson, A.S. Lawless, N.K. Nichols and I. Roulstone [2007] Weak constraints in four-dimensional variational data assimilation Meteorologische Zeitschrift, 16 767-776.

S. Zelik [2007] Spatial and dynamical chaos generated by reaction-diffusion systems in unbounded domains Jour. Dyn. Dif. Eqns., 19, N. 1, 1-74 .pdf file

S. Zelik [2007] Spatially nondecaying solutions of the 2D Navier-Stokes Equation in a strip, Glasgow Mathematical Journal, 49 525-588.

Papers 2006

J. Arendt, B. Middleton, P. Williams, G. Francis, C. Luke [2006] Sleep and circadian phase in a ship's crew J Biol Rhythms 21(3) 214-21.

S. Asghar, P.Palmer and R.M. Roberts [2006] An exact steering law for twin control moment gyro systems Proceedings of the 6th International ESA Conference on Guidance and Navigation Control Systems, Oct 2005, Loutraki Greece, ESA SP-606.

P. Aston and I. Melbourne [2006]  Lyapunov exponents of symmetric attractors. Nonlinearity 19 2455-2466 .pdf file

M.V. Bartuccelli [2006] Nonlinear stability of uniform steady states and preservation of sign for a two-dimensional fourth-order reaction diffusion equation "WASCOM 2005"---13th Conference on Waves and Stability in Continuous Media 41--46, World Sci. Publ., Hackensack, NJ.

M.V. Bartuccelli, J.H.B. Deane, G. Gentile and L. Marsh [2006] Invariant sets for the varactor equation Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 462 no. 2066, 439-457.

J. Bevan [2006] On convex representatives of polyconvex functions. Proc. Roy. Soc. Edinburgh Sect.A 136 no. 1 23-51.

J. Bevan and P. Pedregal [2006] A necessary and sufficient condition for the weak lower semicontinuity of one-dimensional non-local variational integrals. Proc. Roy. Soc. Edinburgh Sect. A 136 no. 4, 701-708.

J. Bevan and X. Yan, [2006]  Minimizers with topological singularities in two dimensional elasticity ESAIM: Control, Optimization and Calculus of Variations, 14, No. 1, 200, pp. 192-209 .pdf file

T.J. Bridges & N.M. Donaldson [2006] Secondary criticality of water waves. Part 1. Definition, bifurcation and solitary waves J. Fluid Mech. 565 381-417 available online

T.J. Bridges & N.M. Donaldson [2006] Secondary criticality of water waves. Part 2: Unsteadiness and the Benjamin-Feir instability from the viewpoint of hydraulics J. Fluid Mech. 565 419-439  .ps file

T.J. Bridges [2006] Canonical multi-symplectic structure on the total exterior algebra bundle Proc. Royal Soc. London A 462 1531-1551 .pdf file PRSLA Reprint

T.J. Bridges & S. Reich [2006] Numerical methods for Hamiltonian PDEs J. Phys. A: Math. Gen 39 5287-5320 .pdf file

H. Bruin [2006] Renormalisation in a class of interval translation maps of d branches, Dynamical Systems, an international journal 22, 11-24. Reprint 2006 pdf

H. Bruin [2006] Subcontinua of Fibonacci-like unimodal inverse limit spaces, Topology Proceedings 31, no. 1, 37-50. pdf

H. Bruin and S. Luzzatto [2006] Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps, Proc. Amer. Math. Soc. 134, no 1, 265-272 (electronic).  .pdf file

H. Bruin, W. Shen & S. van Strien [2006] Existence of unique SRB-measures is typical for unimodal families, Annales Scientifiques de I'ENS 4e serie, 39, 381-414 .pdf file

H. Bruin & M. Todd [2006] Complex maps without invariant densities, Nonlinearity 19, 2929-2945 .pdf file

H. Bruin & M. Todd [2006] Markov extensions and lifting measures for complex polynominals, Ergod. Th. and Dyn. Sys. 27, 743-768. pdf

D. Chan [2006] Hopf bifurcations from relative equilibria in spherical geometry J. Differential Equations 26 118-134 .pdf file

F. Chardard, F. Dias & T.J. Bridges [2006] Fast computation of the Maslov index for hyperbolic linear systems with periodic coefficients, J. Phys A: Math Gen, 39, pages 14545-14557 .pdf file

J.H.B. Deane [2006] Piecewise Isometries: Applications in Engineering Meccanica 41(3) 241-252 .pdf file

J.H.B. Deane and L. Marsh [2006] Unstable periodic orbit detection for ODEs with periodic forcing Physics Letters A, 359 issue 6, 555--558  .pdf file

F Dias & T.J. Bridges [2006] The numerical computation of freely-propagating time-dependent irrotational water waves Fluid Dynamics Research 38 803-830 .pdf file

G. Gentile, M. Bartuccelli and J.H.B. Deane [2006] Quasiperiodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems J. Math. Phys. 47 no. 7, 072702, 10

J.D Gibbon, D.D. Holm, R.M. Kerr and I. Roulstone [2006] Quaternions and particle dynamics in the Euler fluid equations Nonlinearity, 19 1969-1983 .pdf file

J.D. Godolphin [2006] The specification of rank reducing observation sets in experimental design, Computational Statistics and Data Analysis, 51, 1862-1874.

J.D. Godolphin [2006] Reducing the impact of missing values in factorial experiments arranged in blocks, Quality and Reliability Engineering International, 22, 669-682.

S.A.Gourley and J. Wu [2006] Delayed non-local diffusive systems in biological invasion and disease spread Nonlinear dynamics and evolution equations, Fields Inst. Commun., 48, Amer. Math. Soc., Providence, RI 137-200.

J. Humphreys, B. Sandstede and K. Zumbrun [2006] Efficient computation of analytic bases in Evans function analysis of large systems. Numerische Mathematik 103 631-642. Publisher link

D. Keedwell [2006] Defining sets for magic squares. Math. Gazette, 90, 417-424.

D. Keedwell [2006] Two remarks about Sudoku squares. Math. Gazette, 90, 425-430.

Y. Kyrychko, S.A. Gourley and M.V. Bartuccelli [2006] Dynamics of a stage-structured population model on an isolated finite lattice SIAM J. Math. Anal. 37, no. 5, 1688--1708 available online

F.E. Laine-Pearson and P.E. Hydon [2006] Particle transport in a moving corner, J. Fluid Mech. 559 379-390.

J. S. W. Lamb, I. Melbourne, and C. Wulff [2006] Hopf Bifurcation from relative periodic solutions; secondary bifurcations from meandering spirals. J. Difference Equ. Appl. 12 1127-1145 .pdf file

I. Melbourne [2006] Symmetry and symmetry breaking in dynamical systems Encycl. Math. Phys. (eds. J.-P. Francoise, G.L. Naber and S.T. Tsou). Oxford: Elsevier, 5 184-190 .pdf file

I. Melbourne, V. Niţică and A. Török [2006] A note about stable transitivity of noncompact extensions of hyperbolic systems. Discr. Cont. Dyn. Syst. 14 355-363 .pdf file

J.B. Morgan, P. Williams, K.D. Foote, L.D. Marriott [2006] Do mothers understand healthy eating principles for low-birth-weight babies? Public Health Nutrition 9(6) 700-6.

V. Pata and S. Zelik [2006] Global attractors for semigroups of closed operators Math. Methods Appl. Sci., 29 1291-1306 available online

V. Pata and S. Zelik [2006] Global and exponential attractors for 3-D wave equations with displacement dependent damping Math. Methods Appl.Sci. 29 no. 11, 1291-1306 available online

V. Pata and S. Zelik [2006] Smooth attractors for strongly damped wave equations Nonlinearity 19 no. 7, 1495-1506 available online

V. Pata and S. Zelik [2006] A remark on the damped wave equation Commun. Pure Appl. Anal. 5 no. 3, 609-614 available online

O.G. Rasin and P.E. Hydon [2006] Conservation laws for NQC-type difference equations, J. Phys. A: Math. Gen. 39 14055-14066 .pdf file

R.M. Roberts, T. Schmah and C. Stoica, [2006] Relative equilibria with configuration space isotropy J. Geom. Phys. 56 762-779 available online

B. Sandstede and A. Scheel [2006] Curvature effects on spiral spectra: Generation of point eigenvalues near branch points. Physical Review E 73 016217. Publisher link

K.I. Skau, R.B. Hoyle and M.S. Turner [2006] A kinetic model describing the processivity of myosin-V. Biophys. J., 91 2475-2489

R.R.L. Simons and S.A. Gourley [2006] Extinction criteria in stage-structured population models with impulsive culling SIAM J. Appl. Math. 66 no. 6, 1853-1870 (electronic).

S.D. Haro, S. Ramgoolam and A. Torrielli [2006] Large N Expansion of q-Deformed Two-Dimensional Yang-Mills Theory and Hecke Algebras, Commun. Math. Phys. 273, 317-355. available online.  DOI. Unpublished.

J. Plefka, F. Spill and A. Torrielli [2006] On the Hopf algebra structure of the AdS/CFT S-matrix, Phys. Rev. D74, 066008. available online.  DOI. Unpublished.

M. Salizzoni, A. Torrielli and H.S. Yang [2006] ALE spaces from noncommutative U(1) instantons via exact Seiberg-Witten map, Phys.Lett. B634, 427-433. available online.  DOI. Unpublished.

M.R. Turner and P.W. Hammerton [2006] Asymptotic receptivity and the Parabolized Stability Equation: a combined approach to boundary layer transition. J. Fluid Mech. 562 355-381

M. Wlasak, N.K. Nichols and I. Roulstone [2006] Use of potential vorticity for incremental data assimilation Quart. J. R. Meteorol. Soc. 132 2867-2886 .pdf file

L.R. Watkinson, A.S. Lawless, N.K. Nichols, and  I. Roulstone, [2006] Data Assimilation and the 2- and 3-body Problems. In Oberwolfach Workshop on Mathematical Theory and Modelling in Atmosphere-Ocean Science, Report 39/2006.Oberwolfach Reports 3, 2356-59.

C. Wulff and A. Schebesch [2006] Numerical continuation of symmetric periodic orbits. SIAM J. Appl. Dyn. Syst. 5(3) 435-475.

C. Wulff [2006] Relative periodic points of symplectic maps: persistence and bifurcations Journal of Difference Equations and Applications 12(11) 1179-1191.

S. Zelik [2006] Global averaging and parametric resonances in damped semilinear wave equations Proc. Roy. Soc. Edinburgh Sect. A, 136, N. 5, 1053-1097 .pdf file

Papers 2005

S. Abreu, P. Aston and I. Melbourne. [2005] Symmetric chaos in a local codimension two bifurcation with the symmetry group of a square. SIAM J Appl. Dyn. Sys. 4 32-52  .pdf file

J.F.M. Al-Omari and S.A. Gourley [2005] A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay. European J. Appl. Math. 16, no. 1, 37-51.

J.F.M. Al-Omari and S.A. Gourley [2005]  Monotone wave-fronts in a structured population model with distributed maturation delay IMA J. Appl. Math. 70, no. 6, 858-879.

J.F.M. Al-Omari and S. A. Gourley [2005] Dynamics of a stage-structured population model incorporating a state-dependent maturation delay Nonlinear Anal. Real World Appl. 6 no. 1, 13-33.

J. Bevan [2005] Singular minimizers of strictly polyconvex functionals in $\bold R\sp {2\times 2}$, Calc. Var. Partial Differential Equations 23, no. 3, 347-372.

A. Bassetto, G.D. Pol, A. Torrielli and F. Vian [2005] Area preserving diffeomorphisms and Yang-Mills theory in two noncommutative dimensions, available online. DOI. Unpublished.

A. Bassetto, G.D. Pol, A. Torrielli and F. Vian [2005] On the invariance under area preserving diffeomorphisms of noncommutative Yang-Mills theory in two dimensions, JHEP 0505, 061. available online. DOI. Unpublished.

T.J. Bridges [2005] Potentially singular particle paths. Appendix to "Nonlinear particle kinematics of ocean waves", by P. Sclavounos, J. Fluid Mechanics vol. 540, 133-142.

T.J. Bridges [2005] Steady dark solitary waves emerging from wave-generated meanflow: the role of modulation equations. Chaos 15 037113 .pdf file

T.J. Bridges & N.M. Donaldson [2005] Degenerate periodic orbits and homoclinic torus bifurcation Phys. Rev. Lett. 95 (10) 104301 .ps file

T.J. Bridges and F.E. Laine-Pearson [2005] The long-wave instability of short-crested waves, via embedding in the oblique two-wave interaction. J. Fluid Mechanics 565 419-439 .pdf file

T.J. Bridges, P.E. Hydon and S. Reich [2005] Vorticity and symplecticity in Lagrangian fluid dynamics. J.Phys.A:Math.Gen. 38 1403-1418 .pdf file

H. Bruin, M. Holland and I. Melbourne [2005] Subexponential decay of correlations for compact group extensions of nonuniformly expanding systems, Ergodic Theory Dyn. Syst. 25, 1719-1738  .pdf file

H. Bruin [2005] Asymptotic arc-components of unimodal inverse limit spaces, Top. & Appl. 152, 182-200 .pdf file

H. Bruin and K. Brucks [2005] Topics from one-dimensional dynamics, London Mathematical Society, Student Texas Cambridge University Press.

H. Bruin, M. Holland and M. Nicol [2005] Livsic regularity for Markov Systems, Ergod. Th. & Dyn. Sys. 25, 1739-1766 .pdf file

H. Bruin and O. Volkova [2005] The complexity of Fibonacci-like kneading sequences, Theo. Comp. Science. 377, 379-389 pdf file

H. Bruin and O. Volkova [2005] Symbolic complexity of Fibonacci-like subshifts. (Ukrainian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki, 4, 7-11.

M.J.P. Cullen, R.J. Douglas, I. Roulstone and M.J. Sewell [2005] Generalised semi-geostrophic theory on a sphere J.Fluid Mech., 531 123-157.

G. Derks and G. Gottwald [2005] A robust numerical method to study oscillatory instability of gap solitary waves SIAM J. Applied Dynamical Systems, 4 140-158  .pdf file

H. Dorn, M. Salizzoni and A. Torrielli [2005] D-branes in overcritical electric fields, Phys.Rev. D73, 026006. available online. DOI. Unpublished.

M. Field, I. Melbourne and A. Török [2005] Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets. Ergodic Theory Dyn. Syst. 25 517-551  .pdf file

M. Field, I. Melbourne, M. Nicol and A. Török [2005] Statistical properties of compact group extensions of hyperbolic flows and their time one maps. Discr. Cont. Dyn. Syst. 12 79-96 .pdf file

G. Gottwald and I. Melbourne [2005] Testing for chaos in deterministic systems with noise. Physica D 212 100-110 .pdf file

S.A. Gourley and Y. Kuang [2005]  A delay reaction-diffusion model of the spread of bacteriophage infection SIAM J. Appl. Math. 65 no.2, 550-566 (electronic).

S.A. Gourley and Y. Kuang [2005]  Two-species competition with high dispersal: the winning strategy. Math. Biosci. Eng.  2, no. 2, 345-362.

S.A. Gourley [2005] Linear stability of travelling fronts in an age-structured reaction-diffusion population model. Quart. J. Mech. Appl. Math. 58, no. 2, 257-268.

E. Grenier, C.K.R.T. Jones, F. Rousset and B. Sandstede [2005] Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory. Nonlinearity 18 465-483. Publisher link

P.E. Hydon [2005] An introduction to symmetry methods in the solution of differential equations that occur in chemistry and chemical biology. Int. J. Quantum Chem. 106 266-277.

P.E. Hydon [2005] Symmetry analysis of initial-value problems. J. Math. Anal. Appl. 309 103-116.

P.E. Hydon [2005] Multisymplectic conservation laws for differential and differential-difference equations. Proc. Roy. Soc. Lond. A 461 1627-1637.

T. Kapitula, P.G. Kevrekidis and B. Sandstede Addendum: Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems Physica D 201 199-201.

D. Keedwell and G. L. Mullen [2005] On sets of partially orthogonal latin squares and "near" projective planes. Discrete Math. 288, 49-60.

D. Keedwell and V.A.Shcherbacov [2005] Quasigroups with an inverse property and generalized parastrophic identities. Quasigroups and Related Systems, 13, 109-124.

D. Keedwell and V.A.Shcherbacov [2005] Construction and properties of (r; s; t)-inverse quasigroups II, Discrete Math. 288, 61-71.

D. Keedwell [2005] Tests for loop nuclei and a new criterion for a latin square to be group-based. Europ. J. Combin. 26, 111-116.

D. Keedwell and P.Syrbu [2005] New English translation, annotated with reference to recent work, of Parastrophic Orthogonal Quasigroups by V.D.Belousov, prepared for the special memorial volume of Quasigroups and Related Systems, 13, 25-72.

Y.N. Kyrychko, M.B. Bartuccelli and K.B. Blyuss [2005] Persistence of travelling wave solutions of a fourth order diffusion system J. Comput. Appl. Math. 176 no. 2, 433-443.

Y. Kyrychko, S.A. Gourley, M.V Bartuccelli [2005] Comparison and convergence to equilibrium in a nonlocal delayed reaction-diffusion model on an infinite domain. Discrete Contin. Dyn. Syst. Ser. B 5 no. 4, 1015-1026.

F. E. Laine-Pearson [2005] Instabilities of multiphase wave trains in coupled nonlinear Schrodinger equations: a bisymplectic framework. Journal of Mathematical Physics 46 082701.

D.J.B. Lloyd, A.R. Champneys and R.E. Wilson [2005] Robust heteroclinic cycles in the one-dimensional complex Ginzburg-Landau equation Physica D, 204 (3-4) 240-268.

D.J.B. Lloyd, A.R. Champneys [2005] Efficient numerical continuation and stability analysis of spatiotemporal quadratic optical solitons, SIAM Journal of Scientific Computing, 27 (3):759-773.

S. Luzzatto, I. Melbourne and F. Paccaut [2005] The Lorenz attractor is mixing. Commun. Math. Phys. 260 393-401 .pdf file

C. McCord, J. Montaldi, R.M. Roberts and L. Sbano [2005] Relative periodic orbits of symmetric Lagrangian systems. Proceedings of "Equadiff 2003" World Sci. Publ., Hackensack, NJ, 482--493.

I. Melbourne, V. Niţică and A. Török [2005] Stable transitivity of certain noncompact extensions of hyperbolic systems. Annales Henri Poincaré. 6 725-746 .pdf file

I. Melbourne and M. Nicol [2005] Almost sure invariance principle for nonuniformly hyperbolic systems. Commun. Math. Phys. 260 131-146 .pdf file

I. Melbourne and A. Windsor [2005] A C^∞ diffeomorphism with infinitely many intermingled basins. Ergodic Theory Dyn. Syst. 25 1951-1959 .pdf file

O.G. Rasin and P.E. Hydon [2005] Conservation laws of discrete KdV equation SIGMA 1 026 1-6.

F.A. Rihan, C.G. Collier and I. Roulstone [2005] Four-dimensional varaitional data assimilation for Doppler radar wind data J. Comp. Appl. Math., 176 15-34.

B. Sandstede and G. Samaey [2005] Determining stability of pulses for partial differential equations with time delays. Dynamical Systems 20 201-222. Publisher link

B. Sandstede and A. Scheel [2005] Basin boundaries and bifurcations near convective instabilities: A case study. Journal of Differential Equations 208 176-193. .pdf file

B. Sandstede and A. Scheel [2005] Absolute instabilities of standing pulses. Nonlinearity 18 331-378. Publisher link

C. Sieg & A. Torrielli [2005] Wrapping interactions and the genus expansion of the 2-point function of composite operators, Nucl. Phys. B723, 3-32. available online. DOI. Unpublished.

A.C. Skeldon and I. Purvey [2005] The effect of different forms for the delay in a model of the nephron. MBE 2 97-109.

M. Todd and W. Shen [2005] Real Ck Koebe Principal Fundamenta Mathematicae 185 61-69.

M. Todd and J. Llibre [2005] Periods for holomorphic maps via Lefschetz numbers Abstract and Applied Analysis, 6, 575-580.

M. Todd and J. Llibre [2005] Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles Journal of Difference Equations and Applications 12 1049-1069.

A. Torrielli [2005] Theory of light emission in sonoluminescence based upon transitions in confined atoms, Eur. Phys. J. D, Vol 33, 315. available online

M.R. Turner [2005] Numerical and asymptotic approaches to boundary-layer receptivity and transition. Ph.D. Thesis, University of East Anglia, Norwich. (External Examiner: Prof. N. Peake, University of Cambridge)

K. Triantafyllopoulos, J.D.Godolphin and E.J.Godolphin [2005] Process improvement in the micro-electronic industry by state space modelling, Quality and Reliability Engineering International, 21, 465-475.

L.R. Watkinson, A.S Lawless, N.K Nichols and I. Roulstone [2005] Variational data assimilation for Hamiltonian problems Int. J. Numer. Meth. Fluids, 47, 1361-1367.

A.A. White, B.J. Hoskins, I. Roulstone and A. Staniforth [2005] Consistent approximate models of the global atmosphere: shallow, deep, hydrostatic, quasi-hydrostatic and non-hydrostatic Quart. J. R. Meteorol. Soc., 131 2081-2107.

Papers 2004

M. Bartuccelli, J. Deane, G. Gentile and S. Gourley [2004] Global attraction to the origin in a parametrically-driven nonlinear oscillator. Applied Mathematics and Computation 153 1-11  .ps file

M. Bartuccelli, K.B. Blyuss and Y. Kyrychko [2004] Length scales and positivity of solutions of a class of reaction-diffusion equations. Commun. Pure Appl. Anal. 3 , No. 1, 25 - 40 .ps file

A. Bassetto, A. Torrielli and R. Valandro [2004] One-loop unitarity of string theories in a constant external background and their Seiberg-Witten limit, JHEP 0401, 040. available online.  DOI.  Unpublished.

D.L.Bennett and S.A. Gourley [2004] Global stability in a model of the glucose-insulin interaction with time delay. European J. Appl. Math. 15 203-221. Publisher link

D.L. Bennett and S.A. Gourley [2004] Periodic oscillations in a model of the glucose-insulin interaction with delay and periodic forcing. Dyn. Syst. 19 109-125. Publisher link

D.L. Bennett and S.A. Gourley [2004] Asymptotic properties of a delay differential equation model for the interaction of glucose with plasma and interstitial insulin. Appl. Math. Comput. 151 189-207. .pdf file

T.J. Bridges [2004] Superharmonic instability, homoclinic torus bifurcation and breaking water waves. J. Fluid Mech. 505 153-162. .ps file

T.J. Bridges [2004] Deformability, and the susceptibility of bright NLS solitons to transverse instability, Proceedings of the Royal Society of London A 460 2605-2615. .ps file

T.J. Bridges and E. Fan [2004] Solitary waves, periodic waves, and a stability analysis for Zufiria's higher-order Boussinesq model for shallow water waves. Physics Letters A 326 381-390.  .ps file

T.J. Bridges and F.E. Laine-Pearson [2004] Nonlinear counterpropagating waves, multi-symplectic geometry, and the stability of standing waves. SIAM J. Applied Math. 64 2096 - 2120. .pdf file

H. Bruin and M. van Noort [2004] Nonconformal perturbations of $z \mapsto z^2 + c$: the 1:3 resonance, Nonlinearity 17, 765-789 .pdf

M. Field and M. Nicol [2004] Ergodic theory of equivariant diffeomorphisms: Markov partitions and stable ergodicity, Memoirs of American Mathematical Society 169, 803

R.G. Forbes, J.H.B. Deane, Nabil Hamid and Hwa San Sim [2004] The extraction of emission area using Fowler-Nordheim plots, Journal of Vacuum Science and Technology B, vol. 22(3), 1222-1226

J.D. Godolphin [2004] Simple pilot procedures for the avoidance of disconnected experimental designs. Appl. Statist. 53, 133-147 web link

S.A. Gourley and J.Wu [2004] Extinction and periodic oscillations in an age-structured population model in a patchy environment, J. Math. Anal. Appl. 289, 431-445. web link

G. Gottwald and I. Melbourne [2004] A new test for chaos in determinstic systems. Proc Roy. Soc. London A 460, no. 2042, 603-611. .pdf file

M.D. Groves and B. Sandstede [2004] A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles, Journal of Nonlinear Science 14, 297-340. available online

R.B. Hoyle [2004] Shapes and cycles arising at the steady bifurcation with icosahedral symmetry, Physica D 191, 261-281. .pdf file

P.E. Hydon [2004] Self-invariant contact symmetries. J. Nonlinear Math. Phys. 11, 233-242. .pdf file

P.E. Hydon , E.L. Mansfield [2004] A variational complex for difference equations. Found. Comp. Math. 4, 187-217. .ps file

I.M. Irurzun, R.B. Hoyle, M.R.E. Proctor and D.A. King [2004] Reply to `Comment on `Modelling pattern formation in CO+O2 on Pt{100} Chemical Physics Letters, 390, 305-306.

T. Kapitula, N. Kutz and B. Sandstede [2004] The Evans function for nonlocal equations. Indiana University Mathematics Journal 53 1095-1126. .pdf file

T. Kapitula, P.G. Kevrekidis and B. Sandstede. [2004] Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems. Physica D 195 263-282.

D. Keedwell [2004] Critical sets in latin squares and related matters: an update. Utilitas Math. 65, 97-131.

M. Krupa and I. Melbourne [2004] Asymptotic stability of heteroclinic cycles in systems with symmetry, II. Proc. Roy. Soc. Edinburgh A 134 1177-1197 .pdf file

Y. Kyrychko, M. Bartuccelli [2004] Length scales for the Navier-Stokes equations on a rotating sphere. Physics Letters A 324 179-184  .ps file

I. Melbourne and M. Nicol. [2004] Statistical properties of endomorphisms and compact group extensions. J. London. Math. Soc. 70 427-446. .pdf file

I. Melbourne and A. Török [2004] Statistical limit theorems for suspension flows. Israel J. Math. 144 191-209 .pdf file

I. Melbourne and G. Schneider [2004] Phase dynamics in the real Ginzburg-Landau equation. Math. Nachr. 263-264 171-180.  .pdf file

I. Melbourne and G. Schneider [2004] Phase dynamics in the complex Ginzburg-Landau equation. J. Diff. Eq. 199 22-46. .pdf file

I. Melbourne and M. Nicol [2004] Statistical limit laws for equivariant observations. Stoch.& Dyn. 4 1-13. .pdf file

M. Mendes and M. Nicol [2004] Periodicity and recurrence in piecewise rotations of Euclidean spaces Int. J. of Bif. and Chaos 14 2353-2361.

J.B. Morgan, P. Williams, F. Norris, C.M. Williams, M. Larkin, S. Hampton [2004] Eczema and early solid feeding in preterm infants Archives of Disease in Childhood 89(4) 303-308.

M. Oliver, M. West, C. Wulff [2004] Approximate momentum conservation for spatial emidiscretizations of nonlinear wave equations Numerische Mathematik Numer. Math. 97 493-535.

G.W. Patrick, R.M. Roberts and C.Wulff [2004] Stability of Poisson equilibria and Hamiltonian relative equilibria by energy methods. Archive for Rational Mechanics and Analysis 174 301-344.

B. Sandstede and A. Scheel. [2004] Evans function and blow-up methods in critical eigenvalue problems. Discrete and Continuous Dynamical Systems 10 941-964.

B. Sandstede and A. Scheel.[2004] Defects in oscillatory media: toward a classification. SIAM Journal of Applied Dynamical Systems 3 1-68.

H. Susanto, S.A. van Gils , A. Doelman, G. Derks [2004] Comment on Josephson vortices at tricrystal boundaries. Physical Review B 69 212503 .pdf file

D.N. Zurlev, J.H.B. Deane and R.G. Forbes [2004]  Field ion emission: an analytical method of calculating evaporation field enhancement factors due to quadratic fieldterms and finding "no solution" cases Journal of Vacuum Science and Technology B,  vol. 22(3), 1222-1226 .pdf file

Papers 2003

M. Adahl, I. Melbourne and M. Nicol [2003] Random iteration of Euclidean isometries Nonlinearity, 16, 977-987.

L. Allen and T.J. Bridges [2003] Flow past a swept wing with a compliant surface: stabilizing the attachment line boundary layer, Studies in Applied Mathematics 110 333-349.

L. Allen and T.J. Bridges [2003] Hydrodynamic stability of the Ekman boundary layer including interaction with a compliant surface: a numerical framework, European Journal Mechanics B/Fluids 22 239-258.

P.Ashwin, X-C. Fu and J.H.B. Deane [2003] Properties of the invariant disc packing in a model bandpass sigma-delta modulator, International Journal of Bifurcation and Chaos , vol.13, no. 3,  631-641

P.J. Aston and M. Dellnitz. [2003] Computation of the dominant Lyapunov exponent via spatial integration using matrix norms Proc. Roy. Soc. Lond. A 459, 2933-2955.

P.J. Aston [2003] Modelling chaotic motion of a sloshing liquid in a horizontally forced axisymmetric container with a forced spherical pendulum. Veh. Syst. Dyn. Suppl. 40, 121-142, 2003. .ps file

F.R. Austin and T.J. Bridges [2003] A bundle view of boundary value problems: generalizing the Gardner-Jones bundle, J. Differential Equations 189, 412-439.

M. Bartuccelli and G. Gentile [2003] On a class of integrable time-dependent dynamical systems Physics Letters A 307, 274-280.

M. Bartuccelli, G. Gentile, K. Georgiou [2003] KAM Theorem and Stability of the Upside-Down Pendulum. Discrete and Continuous Dynamical Systems 9, 413-426.

J. Bevan [2003] An example of a $C\sp {1,1}$ polyconvex function with no differentiable convex representative, C. R. Math. Acad. Sci. Paris 336 , no. 1, 11-14.

K.B. Blyuss, T.J. Bridges and G. Derks [2003] Transverse instability and its long-term development for solitary waves of the (2+1)-dimensional Boussinesq equation Phys. Rev. E 67, 056626.

T.J. Bridges and G. Derks [2003] Constructing the symplectic Evans matrix using maximally-analytic individual vectors Proc. Royal Society of Edinburgh, A 133, 505-526.

H. Bruin, S. Luzzatto and S. van Strien [2003] Decay of correlations in one-dimensional dynamics Ann. Sci. Ec. Norm. Sup., 36, 621-646. pdf

H. Bruin and S. van Strien [2003] Expansion of Derivatives in One-Dimensional Dynamics, Isr. J. Math., 137, 223-263. pdf

H. Bruin, B. Saussol, S. Troubetzkoy and S. Vaienti [2003] Return time statistics via inducing, Ergod. Th. Dyn. Sys., 23, 991-1013. pdf

H. Bruin, L. Snoha and S. Kolyada [2003] Minimal nonhomogeneous continua, Colloq. Math., 95, 123-132. pdf

H. Bruin and S. Vaienti [2003] Return time statistics for unimodal maps, Fund. Math., 176, 77-94. pdf

H. Bruin [2003] Minimal Cantor systems and unimodal maps, J. Difference Eq. Appl., 9, 305-318. pdf

H. Bruin, A. Lambert, G. Poggiaspalla and S. Vaienti [2003] Numerical analysis for a discontinuous rotation of the torus, Chaos, 13, 558-571. available online

H. Bruin and S. Troubetzkoy [2003] The Gauss map on a class of interval translation mappings, Isr. J. Math., 137, 125-148. pdf

H. Bruin, W. Shen and S. van Strien [2003] Invariant measures exist without a growth condition Commun. Math. Phys., 241, 287-306. pdf 

P.G. Daniels, D. Ho and A.C. Skeldon [2003] Solutions for nonlinear convection in the presence of a lateral boundary Physica D 178, 83-102.

G. Derks, A. Doelman, S.A. van Gils and T. Visser [2003] Travelling waves in a singularly perturbed sine-Gordon equation Physica D, 180, 40-70.

H. Dorn & A. Torrielli [2003] Loop Equation in Two-dimensional Noncommutative Yang-Mills Theory, JHEP 0401, 026. available online. DOI. Unpublished.

M. Field, I. Melbourne and A. Török [2003] Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions. Ergodic Theory Dyn. Syst., 23, 87-110.

I. Hoveijn, J.S.W. Lamb and R.M. Roberts [2003] Normal forms and unfoldings in eigenspaces of (anti-)automorphisms J. Differential Equations, 190, 182-213.

R.B. Hoyle and J.C. Robinson [2003] League tables and school effectiveness: a mathematical model Proc. R. Soc. Lond. B, 270, 113-119.

D. Keedwell and V.A.Shcherbacov [2003] Construction and properties of (r; s; t)-inverse quasi-groups I, (in Proc. BCC 2001) Discrete Math. 266, 275-291.

I.N. Kozin and R.M. Roberts [2003] Monodromy in the spectrum of an axisymmetric top molecule in an electric field J. Chemical Physics, 118, 10523.

I.M. Irurzun, R.B. Hoyle, M.R.E. Proctor and D.A. King [2003] Modelling Pattern Formation in CO+O2 on Pt{100} Chemical Physics Letters, 377, 269-278.

F.E. Laine-Pearson and P.E. Hydon [2003] Classification of matrices for discrete symmetries of ordinary differential equations Stud. Appl. Math., 111, 269-299.

J.S.W. Lamb, I. Melbourne and C. Wulff [2003] Bifurcation from periodic solutions with spatiotemporal symmetry, including resonances and mode interactions J. Diff. Eq., 191, 377-407.

I. Melbourne and M. Nicol [2003] Stable transitivity of Euclidean group extensions. Ergodic Theory Dyn. Syst., 23, 611-619.

L.I. Pettit, M.P. Wiper and K.D.S. Young [2003] Bayesian inference for some Lanchester combat laws Eur. J. Oper. Res., 148, 152-165.

I. Roulstone [2003] Lagrangian Dynamics in Encyclopedia of Atmospheric Sciences (J.R. Holton, J. Pyle and J.A. Curry eds.) Academic Press.

A. Torrielli [2003] D-branes and Unitarity of Noncommutative Field Theories, Proceedings of Euroconference on Symmetries Beyond the Standard Model, Published in Bled Workshops in Physics, Vol 4, Portoroz, Slovenia: DMFA published

A. Torrielli [2003] Noncommutative perturbative quantum field theory: Wilson loop in two-dimensional Yang-Mills, and unitarity from string theory, available online. Unpublished.

A. Torrielli [2003] Cutting rules and perturbative unitarity of noncommutative electric-type field theories from string theory, Phys. Rev. D67, 086010. available online. DOI. Unpublished.

A. Torrielli [2003] Unitarity of noncommutative field theories from string theory, Mod. Phys. Lett. A18, 2525-2532. available online. DOI. Unpublished.

C. Wulff [2003] Persistence of Hamiltonian relative equilibria of noncompact group actions Nonlinearity 16, 67-91.

C. Wulff [2003] Persistence of Hamiltonian relative periodic orbits J. Geom. Phys., 48, 309-338.

Papers 2002

L. Allen and T.J. Bridges [2002] Numerical exterior algebra and the compound matrix method, Numerische Mathematik 92, 197-232.

J. Al-Omari and S.A. Gourley [2002] Monotone travelling fronts in an age-structured reaction-diffusion model of a single species J. Math. Biol. 45, 294-312.

P.B. Ashwin, M.V. Bartuccelli, T.J. Bridges and S.A. Gourley [2002] Travelling fronts for the KPP equation with spatio-temporal delay. ZAMP 53, 103-122.

P. Ashwin, M. Nicol and N. Kirby [2002] Acceleration of one-dimensional mixing by permutation Physica A 310, 347-362.

P.J. Aston [2002] Chaotic motion of a sloshing liquid in a horizontally forced axisymmetric container Proceedings of the Fifth World Congress on Computational Mechanics, Vienna, Austria. Eds: H.A. Mang, F.G. Rammerstorfer and J. Eberhardsteiner.

M. Bartuccelli [2002] On the asymptotic positivity of solutions for the extended Fisher-Kolmogorov equation with nonlinear diffusion. Mathematical Methods in the Applied Sciences, 25, 701-708.

M. Bartuccelli and G. Gentile [2002] Lindstedt series for perturbations of isochronous systems: a review of the general theory. Reviews in Mathematical Physics, 14, 121-171.

M. Bartuccelli, G. Gentile and K. Georgiou [2002] On the stability of the upside-down pendulum with damping. Proceedings of the Royal Society of London, Series A, 458, 255-269.

M. Bartuccelli, S.A. Gourley, A.A. Ilyin [2002] Positivity and the attractor dimension in a fourth order reaction-diffusion equation. Proc. R. Soc. Lond. A 458, 1431-1446.

T.J. Bridges and G. Derks [2002] Linear instability of solitary waves of the Kawahara equation and its generalizations, SIAM J. Math. Analysis 33, 1356-1378.

A. Bassetto, G. Nardelli and A. Torrielli [2002] Scaling properties of the perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory, Phys. Rev. D66, 085012. available online.  DOI. Unpublished.

T.J. Bridges, G. Derks and G. Gottwald [2002] Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework Physica D 172, 190-216.

T.J. Bridges and K. Georgiou [2002] Computing global orbits of the forced spherical pendulum, PhysicaD 165, 1-11.

H. Bruin and D. Schleicher [2002] Symbolic dynamics of quadratic polynomials, Mittag-Leffler Preprint Series. available online

R. Cushman and R.M. Roberts [2002] Poisson structures transverse to coadjoint orbits Bull. Sci. Math. 126, 525-534.

J.H.B. Deane [2002] Global attraction in the sigma-delta modulator piecewise isometry Dynamical Systems 17, 377-388.

G. Derks and T. Ratiu [2002] Unstable manifolds of relative equilibria in Hamiltonian systems with dissipation Nonlinearity 15, 531-549.

G. Gottwald and M. Nicol [2002] On the nature of Benford's Law Physica A, 303, 387-396.

S.A. Gourley and M.A.J. Chaplain. [2002] Travelling fronts in a food-limited population model with time delay, Proc. Roy. Soc. Edin. A 132, 75-89.

S.A. Gourley and J.W.-H. So [2002] Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain J. Math. Biol. 44, 49-78.

D. Hadjiloucas, M. Nicol and C. Walkden [2002] Regularity of invariant graphs over hyperbolic systems, Ergodic Theory Dyn. Syst. 22, 469-482.

D. Keedwell and V.A.Shcherbacov [2002] On m-inverse loops and quasigroups with a long inverse cycle, Austral. J. Combin. 26, 99-119.

J. Lamb and C. Wulff [2002] Reversible relative periodic orbits, J. Differential Equations 178, 60-100.

M.E. McIntyre and I. Roulstone [2002] Are there higher-accuracy analogues of semi-geostrophic theory? in Large-scale atmosphere-ocean dynamics: Vol 2 Geometric methods and models (J. Norbury and I. Roulstone eds.), Cambridge University Press.

I. Melbourne and A. Török [2002] Central limit theorems and invariance principles for time-one maps of hyperbolic flows. Commun. Math. Physics 229, 57-71.

M. Nicol, N. Sidorov and D. Broomhead [2002] On the fine structure of stationary measures in systems which contract-on-average J. Theoret. Probab., 15, 715-730.

R.M. Roberts, C. Wulff and J.S.W. Lamb [2002] Hamiltonian systems near relative equilibria J. Differential Equations 179, 562-604.

D. Schley, R. Shail and S.A. Gourley [2002] Stability criteria for differential equations with variable time delays Int. J. Math. Ed. 33, 359-375.

D. Schley and S.A. Gourley [2002] Linear and nonlinear stability in a diffusional ecotoxicological model with time delays Disc. & Cont. Dyn. Syst. Ser. B. 2, 575-590.

A. Tsuda, R.A. Rogers, P.E. Hydon and J.P. Butler [2002] Chaotic mixing deep in the lung, Proc. Nat. Acad. Sci. 99, 10173-10178.

M.R. Turner [2002] The Motion of balls in sports, UEA MMath project (As cited in "Bob Woolmer's Art and Science of Cricket".) Un-reviewed

C. Wulff [2002] Spiral waves and Euclidean symmetries Z. Phys. Chem. 216, 535-550.

C. Wulff and R.M. Roberts [2002] Hamiltonian systems near relative periodic orbits SIAM J. Appl. Dyn. Syst. 1, 1-43.

Papers 2001

A.L. Afendikov and T.J. Bridges. [2001] Instability of the Hocking-Stewartson pulse and its implications for three-dimensional Poiseuille flow. Proc. Roy. Soc. Lond. 457, 257-272.

P. Ashwin, J.H.B. Deane and X-C. Fu. [2001] Dynamics of a bandpass sigma-delta modulator as a piecewise isometry. Proceedings, ISCAS 2001, (Proceedings of the IEEE International Symposium on Circuits and Systems, 2001), III-811-III-814 (Sydney, Australia).

P. Ashwin, I. Melbourne and M. Nicol. [2001] Hypermeander of spirals; local bifurcations and statistical properties. Physica D 156, 364-382.

M. Bartuccelli and C.J. Woolcock [2001] On the Positivity of Solutions for a Generalized Diffusion Model. Nuovo Cimento, 116 B, 1365-1373.

M. Bartuccelli, G. Gentile and K. Georgiou [2001] On the dynamics of a vertically-driven damped planar pendulum. Proceedings of the Royal Society of London, Series A 457, 1-16.

A. Bassetto, G. Nardelli and A. Torrielli [2001] Perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory, Nucl. Phys. B617, 308-320. available online. DOI. Unpublished.

M.A. Bees, A.J. Pons, P.G. Sorensen and F. Sagues. [2001] Chemoconvection: a chemically driven hydrodynamic instability. Journal of Chemical Physics 114, 1932-1943.

T.J. Bridges. [2001] Transverse instability of solitary-wave states of the water-wave problem. Journal of Fluid Mechanics 439, 255-278.

T.J. Bridges, F. Dias and D. Menasce. [2001] Steady three-dimensional water-wave patterns on a finite-depth fluid. Journal of Fluid Mechanics 436, 145-175.

T.J. Bridges and G. Derks. [2001] The Symplectic Evans Matrix, and the Instability of Solitary Waves and Fronts. Arch. Rational Mech. Anal. 156, 1-87.

T.J. Bridges and G. Derks. [2001] The Symplectic Evans matrix and solitary wave instability Conference proceedings Symmetry and Perturbation Theory 2001, editors: D. Bambusi, G. Gaeta and M. Cadoni, World Scientific, 32-38.  pdf preprint

T.J. Bridges and K. Georgiou. [2001] A transverse spinning double pendulum. Chaos, Solitons & Fractals. 12, 131-144.

T.J. Bridges and F. Laine-Pearson. [2001] Multisymplectic relative equilibria, multiphase wavetrains, and coupled NLS equations. Stud. Appl. Maths. 107, 137-155.

T.J. Bridges and S. Reich. [2001] Computing Lyapunov exponents on a Stiefel manifold. PhysicaD 156, 219-238.

T.J. Bridges and S. Reich. [2001] Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow-water equations. PhysicaD 152, 491-504.

T.J. Bridges and S. Reich. [2001] Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity. Physics Letters A 284, 184-193.

H. Bruin and J. Hawkins [2001] Exactness and maximal automorphic factors of unimodal interval maps Ergod. Th. and Dyn. Sys., 21, 1009-1034. pdf

H. Bruin and S. van Strien [2001] Existence of acips for multimodal maps, Global Analysis of Dynamical Systems, Festschrift dedicated to Floris Takens, 433-448. pdf

H.M. Byrne and S.A. Gourley [2001] Global convergence in a reaction-diffusion equation with piecewise constant argument. Math. & Comp. Modelling 34, 403-409.

F.A. Davidson F.A. and S.A. Gourley [2001] The effects of temporal delays in a model for a food-limited, diffusing population. J. Math. Anal. Applic., 261, 633-648.

J.H.B. Deane [2001] Contributions to the book "Nonlinear dynamics in power electronic circuits", including sections on "Bifurcations of smooth maps", "Modelling a nonlinear inductor circuit", and "Spreading the spectrum of converters using chaos". IEEE Press (in press).

A.M Edwards and M.A. Bees [2001] Generic dynamics of a simple plankton model with a non-integer exponent of closure. Chaos, Solitons and Fractals 12, 289-300.

D. Gammack and P.E. Hydon [2001] Flow in pipes with non-uniform curvature and torsion. J. Fluid Mech. 433, 357-382.

J.D. Godolphin and E.J. Godolphin [2001] On the connectivity of row-column designs Utilitas Mathematica, 60, 51-65.

S.A. Gourley. [2001] Wave front solutions of a diffusive delay model for populations of Daphnia magna. Computers and Mathematics with Applications, 42, 1421-1430.

S.A. Gourley, H.M. Byrne and M.A.J. Chaplain. [2001] Asymptotic behaviour of solutions of a scalar differential equation with piecewise constant argumen. Differential and Integral Equations. (in press)

S.A. Gourley, M.A.J. Chaplain and F.A. Davidson. [2001] Spatio-temporal Pattern Formation in a Nonlocal Reaction-diffusion Equation. Dynamical Systems, 16, 173-192.

R.B. Hoyle and A. Mehta [2001] The effect of avalanching in a two-species ripple model Adv. Complex Syst. 4, 345-352.

P.E. Hydon [2001] Conservation laws of partial difference equations with two independent variables J. Phys. A, 34, 10347-10355.

P.E. Hydon [2001] Discrete symmetries of differential equations in The Geometrical Study of Differential Equations, eds Joshua A. Leslie and Thierry P. Robart, American Mathematical Society, Providence, RI, pp. 61-70.

C.C. Lim, J.A. Montaldi and R.M. Roberts [2001] Relative equilibria of point vortices on the sphere. Physica D 148, 97-135.

E.L. Mansfield and P.E. Hydon [2001] On a variational complex for difference equations. Proc. NSF-CBMS Conf on the Geometrical Study of Differential Equations (eds. J.A. Leslie and T. Robart), American Mathematical Society: Providence, RI, pp.121-129.

E.L. Mansfield and P.E. Hydon [2001] Towards approximations of difference equations which preserve first integrals, Proc. of the 2001 International Symposium on Symbolic and Algebraic Computation (ISSAC 2001), ed. B. Mourrain, ACM, New York, pp 217-222.

I. Melbourne, M. R. E. Proctor and A. M. Rucklidge [2001] A heteroclinic model of geodynamo reversals and excursions. in Dynamo and Dynamics, a Mathematical Challenge (P. Chossat et al. eds.) Kluwer, Netherlands, 363-370.

M. Nicol [2001] Induced maps of Bernoulli dynamical systems. Discrete and Continuous Dynamical Systems, Vol 7, No 1, pp 147-154.

M. Nicol, I. Melbourne and P. Ashwin. [2001]  Euclidean extensions of dynamical systems. Nonlinearity, 14, 275-300 .

M. Nicol and M. Pollicott [2001] Livsic's Theorem for Semisimple Lie Groups Ergodic Theory and Dynamical Systems, 21, 1501-1509.

V.N. Roubtsov and I. Roulstone [2001] Holomorphic structures in hydrodynamical models of nearly geostrophic flow Proc. R. Soc. Lond., A 457, 1519-1531.

R. Shail [2001] A class of infinite sums and integrals, Math. Comp. 70 234, pp 789-799.

U. Scheerer and C. Wulff [2001] Reduced dynamics for momentum maps with cocycle, C. R. Acad. Sc., S'erie I, Math., 333, 99-104.

C. Wulff, J. S. W. Lamb and I. Melbourne [2001] Bifurcation from relative periodic solutions. Ergodic Theory Dyn. Syst. 21, 605-635.

Papers 2000

P. Ashwin & G. Dangelmayr [2000] Unfolding isochronicity in weakly dissipative coupled oscillators. Dynamics and Stability of Systems 15, 263-286.

P. Ashwin, X-C. Fu, T. Nishskawa & K. Zyczkowski. [2000] Invariant sets for discontinuous parabolic maps of the torus. Nonlinearity 13, 819-835.

P. Ashwin, I. Melbourne & M. Nicol [2000] Drift for Euclidean extensions of dynamical systems. Equadiff 99, International Conference on Differential Equations, (B. Fiedler et al. eds.) World Scientific, Singapore, 145-150.

P. Ashwin & J. Terry [2000] On riddling and weak attractors. Physica D 142, 87-100.

P.J. Aston & C.M. Bird. [2000] Using control of chaos to refine approximations to periodic points. Int. J. Bif. Chaos. 10, 227-235.

P.J. Aston & M. Dellnitz. [2000] The computation of Lyapunov exponents via spatial integration using vector norms. Proceedings of the Equadiff '99 Conference, (eds. B. Fiedler, K. Groger and J. Sprekels), World Scientific, 1015-1020.

P.J. Aston & C.R. Laing. [2000] Symmetry and chaos in the complex Ginzburg-Landau equation II Translational symmetries. Physica D. 135, 79-97.

M.A. Bees, P. Andresen, E. Mosekilde & M. Giskov. [2000] The interaction of thin-film flow, bacterial swarming and cell differentiation in colonies of Serratia liquefaciens. Journal of Mathematical Biology 40, 27-63.

K. Blyuss. [2000] Chaotic behaviour of nonlinear waves and solitons of perturbed Korteweg-De Vries equation. Reports in Math. Phys. 46, 47-54.

T.J. Bridges. [2000] Universal geometric condition for the transverse instability of solitary waves. Physical Review Letters 84, 2614-2617.

H. Bruin [2000] Inverse limit spaces of post-critically finite tent maps, Fund. Math., 165, 125-138. pdf

H. Bruin [2000] Dimensions of recurrence of minimal subshifts, Conference Proceedings: from Chrystal to Chaos, Luminy, 117-124. pdf

J.H.B. Deane & D.J. Jefferies [2000] Chaotic dynamics and forbidden words, Applied Complexity, (Procedings of the Complex 2000 conference), 265-273 (Dunedin, New Zealand).

M. Golubitsky, V.G. LeBlanc & I. Melbourne [2000] Hopf bifurcation from rotating waves and patterns in physical space. J. Nonlin. Sci. 10, 69-101.

S.A. Gourley. [2000] Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays. Math. & Comp. Modelling. 32, 843-853.

S.A. Gourley. [2000] Travelling front solutions of a nonlocal Fisher equation. Journal of Mathematical Biology 41, 272-284.

S.A. Gourley & M. Bartuccelli. [2000] Existence and construction of travelling wavefront solutions of Fisher equations with fourth-order perturbations. Dynamics and Stability of Systems 15, 253-262.

S.A. Gourley & S. Ruan. [2000] Dynamics of the diffusive Nicholson's blowflies equation with distributed delays. Proc. Roy. Soc. Edin. A. 130, 1275-1291.

R.B. Hoyle. [2000] Cross-Newell equations for hexagons and triangles. Physical Review E 61: 2506-2512.

P.E. Hydon. [2000] How to construct the discrete point symmetries of partial differential equations. European Journal of Applied Mathematics 11: 515-527.

P.E. Hydon. [2000] Symmetries and first integrals of ordinary difference equations. Proceedings of the Royal Society of London A 456: 2835-2855.

D.J. Jefferies & J.H.B. Deane [2000] Emergent approximate fractal structures in cyclic iterating image transformations, Applied Complexity, (Proceedings of the Complex 2000 conference), pp 256-264 (Dunedin, New Zealand).

I.N. Kozin, R.M. Roberts & J. Tennyson [2000] Relative equilibria of D$_{\rm 2}$H$^+$ and H$_{\rm 2}$D$^+$. Mol. Phys. 98, 295-307.

J.S.W. Lamb, I. Melbourne & C. Wulff [2000] Bifurcation from periodic and relative periodic solutions in equivariant dynamical systems. Equadiff 99, International Conference on Differential Equations, (B. Fiedler et al. eds.) World Scientific, Singapore, 175-185.

I. Melbourne [2000] Derivation, universality and structure of the Ginzburg-Landau equation. Equadiff 99, International Conference on Differential Equations, (B. Fiedler et al. eds.) World Scientific, Singapore, 186-200.

I. Melbourne [2000] Ginzburg-Landau theory and symmetry. In Nonlinear Instability, Chaos and Turbulence, Vol 2, (L. Debnath and D. N. Riahi, eds.) Advances in Fluid Mechanics 25, WIT Press, Southampton.

I. Melbourne [2000] Hidden symmetries on partially unbounded domains. Physica D 143, 226-234.

J.A. Montaldi & R.M. Roberts [2000] Note on semisymplectic group actions. C. R. Acad. Sci. Paris 330, 1079-1084.

G.W. Patrick & R.M. Roberts [2000] The transversal relative equilibria of a Hamiltonian system with symmetry. Nonlinearity 13, 2089-2105.

A.J. Pons, P.G. Sorensen, M.A. Bees and F. Sagues. [2000] Pattern formation in the Methylene-Blue Glucose system. Journal of Physical Chemistry 104B, 2251-2259.

S. Reich. [2000] Finite volume methods for multi-symplectic PDEs. BIT 40, 559-582.

S. Reich. [2000] Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations. J. Comput. Phys. 157, 473-499.

D.Schley & S.A.Gourley [2000] Linear stability criteria for population models with periodically perturbed delays. Journal of Mathematical Biology 40(6) 500-524 (posted article)

R. Shail. [2000] A note on a problem in asymptotics. Quarterly of Applied Mathematics 58: 785-793.

J. Terry & P. Ashwin [2000] Comment on "Riddling of Chaotic Sets in Periodic Windows" by Y-C Lai and C. Grebogi. Phys. Rev. Lett. 85:472-472.

D.P. Tse, A.M. Rucklidge, R.B. Hoyle & M. Silber. [2000] Spatial period-multiplying instabilities of hexagonal Faraday waves. Physica D 146, 367-387.

M. W. Wiper, L. I. Pettit and K. D. S. Young [2000] Bayesian analysis of a Lanchester type combat model. Naval Logistics Review, 47,541-558.

J. Zhou, S. Reich & B.R. Brooks. [2000] Elastic molecular dynamics with self-consistent flexible constraints. J. Chem. Phys. 112 , 7919-7929.

Papers 1999

P. Ashwin [1999] Attractors of a randomly forced electronic oscillator, Physica D 125, pp 302-310.

P. Ashwin [1999] Minimal attractors and bifurcations of random dynamical systems, Proc. Roy. Soc. London A 455, pp 2615-2634.

P. Ashwin [1999] Chaotic intermittency of patterns in symmetric systems,Proceedings of IMA workshop on pattern formation in coupled and continuous systems, Editors: M Golubitsky, D Luss and S H Strogatz, IMA volumes in Mathematics and its applications 115, Springer.

P. Ashwin, E Covas & R Tavakol [1999] Transverse instability for non-normal parameters, Nonlinearity 12, pp 563-577.

P. Ashwin, I Melbourne & M. Nicol [1999] Drift bifurcations of relative equilibria and transitions of spiral waves, Nonlinearity 12, pp 741-755.

P.J. Aston [1999] Bifurcations of the horizontally forced spherical pendulum, Comp. Meth. Appl. Mech. Engng 170 (special issue on "Computational Methods and Bifurcation Theory with Applications"), pp 343-353.

P.J. Aston & M. Dellnitz [1999] The computation of Lyapunov exponents via spatial integration with application to blowout bifurcations, Comp. Meth. Appl. Mech. Engng 170 (special issue on "Computational Methods and Bifurcation Theory with Applications"), pp 223-237.

P.J. Aston & C.R. Laing. [1999] Symmetry and chaos in the complex Ginzburg-landau equation: I Reflection symmetries. Dyn. Stab. Sys. 14, 233-253.

M. Bartuccelli [1999] `Ladder Theorems and Positivity of Solutions for Dissipative Partial Differential Equations, Nonlinear Phenomena in Complex Systems, Vol. 2, No. 3, 19-22.

M. Bartuccelli & S.A. Gourley [1999] On the problem of asymptotic positivity of solutions for dissipative partial differential equations, Journal of Biological Physics, Vol.25, No.2, 65-71.

M.A. Bees & N.A. Hill [1999] Non-linear bioconvection in a deep suspension of gyrotactic swimming micro-organisms, Journal of Mathematical Biology 38, pp 135-168.

L. Brevdo, T.J. Bridges, F. Dias & P.Laure [1999] Convectively unstably wave packets in a film flow on an inclined plane, Proceedings of the Inter. Symp. on Two-phase flow modelling and experimentation (Pisa, May 1999).

T.J. Bridges [1999] A new framework for studying the stability of genus-1 and genus-2 KP patterns, Eur. J. Mech. B/Fluids 18, pp 493-500.

T.J. Bridges & G Derks [1999] Hodge duality and the Evans function, Phys. Lett. A 251, pp 363-372.

T.J. Bridges & G Derks [1999] Unstable eigenvalues and the linearisation about solitary waves and fronts with symmetry, Proc. Roy. Soc. Lond. A 455, pp 2427-2470.

K. Brucks and H. Bruin [1999] Subcontinua of inverse limit spaces of unimodal maps, Fund. Math., 160, 219-246. pdf

H. Bruin [1999] Homeomorphic restrictions of unimodal maps, Contemp. Math., 246, 47-56. pdf

H. Bruin [1999] Planar embeddings of inverse limit spaces of unimodal maps, Topology and its Applications 96, 191-208. pdf

P. Chossat, M. Krupa, I. Melbourne & A. Scheal [1999] Magnetic dynamos in rotating convection - A dynamical systems approach. Dyn. Cont. Discr. Impulsive Syst. 5, 327-340.

J.H.B. Deane [1999] From circuits to spectral peaks, invited paper in IEEE International Symposium on Circuits and Systems, Orlando, Florida, USA; published in ISCAS'99 Proceedings, vol. 5, 274-277.

J.H.B. Deane, P. Ashwin, D.C. Hamill & D.J. Jefferies [1999] Calculation of the periodic spectral components in a chaotic dc-dc converter, IEEE Transactions on Circuits and Systems - I: Fundamental Theory and Applications, vol 46 no 11 pp 1313-1319.

G. Derks [1999] Families of relative equilibria in Hamiltonian systems with dissipation, Conference proceedings, Symmetry and Perturbation Theory 1998 (eds. A. Degasperis and G. Gaeta) World Scientific.

D. Hadjiloucas, D.S. Broomhead & M. Nicol [1999] Random and deterministic perturbation of a class of skew products. Dynamics and Stability of Systems 14 No. 2, pp 115-128.

P.E. Hydon [1999] How to use Lie symmetries to find discrete symmetries, Modern Group Analysis VII (eds. N.H. Ibragimov, K.R. Naqvi, E. Straume), MARS Publishers, Trondhei m.

R.B. Hoyle & A. Mehta. [1999] Two-species continuum model for aeolian sand ripples. Phys. Rev. Lett., 83: 5170-5173.

J. Izaguirre, S. Reich & R.D. Skeel [1999] Longer time steps for molecular dynamics, J. Chem. Phys. 110, pp 9853-9864.

I.N. Kozin, R.M. Roberts & J. Tennyson [1999] Symmetry and Structure of Rotating H$_{\rm 3}^+$. J. Chem. Phys. 111, 140-150.

J.S.W. Lamb & I. Melbourne [1999] Bifurcation from discrete rotating waves. Arch. Rat. Mech. Anal. 149 (1999) 229-270.

J.S.W. Lamb & I. Melbourne [1999] Bifurcation from periodic solutions with spatiotemporal symmetry. Pattern Formation in Continuous and Coupled Systems (M. Golubitsky et al. eds.) IMA Volumes in Mathematics and its Applications 115, Springer.

J.S.W. Lamb & R.M. Roberts [1999] Reversible equivariant linear systems. J. Diff. Eq. 152, 239-279.

I. Melbourne [1999] Steady-state bifurcation with Euclidean symmetry. Trans. Amer. Math. Soc. 351, 1575-1603.

J.S Montaldi & R.M. Roberts [1999] Relative equilibria of molecules. J. Nonlinear Sc. 9, 53-88.

M. Nicol & M. Pollicott [1999] Measurable cocycle rigidity for some noncompact groups. Bull. London. Math. Soc. 31, 592-600.

S. Reich. [1999] Backward error analysis for numerical integrators. SIAM J. Numer. Anal. 36, 1549-1570.

S. Reich [1999] Preservation of adiabatic invariants under symplectic discretization, Applied Numerical Mathematics 29, 45-56.

S. Reich [1999] Multiple time-scales in classical and quantum-classical molecular dynamics, J. Comput. Phys. 151, 49-73.

R.M. Roberts & M.E.R. Sousa Dias [1999] Symmetries of Riemann ellipsoids. Resenhas IME-USP 4, 183-221.

D. Schley & S.A. Gourley [1999] Linear stability criteria in a reaction-diffusion equation with spatially inhomogeneous delay, Dynamics & Stability of Systems 14, 71-91.

J.R. Terry [1999] Detuning and symmetry breaking in a system of coupled chaotic lasers, J. Opt. B: Quantum Semiclass, Opt. 1, pp 245-250.

J.R. Terry, K.S. Thornburg Jr., D.J. DeShazer, G.D. VanWiggeren, R. Roy, P. Ashwin & S. Zhu [1999] Synchronization of Chaos in an Array of Three Lasers, Phys. Rev. E 59, pp 4036-4043.

K D S Young and L I Pettit [1999] Bayesian analysis for inverse Gaussian lifetime data with measures of degradation. Journal of Statistical Computation and Simulation, 63, 217-234.

K D S Young and L I Pettit [1999] Bayesian Analysis for Inverse Gaussian Lifetime data with measures of degradation. Journal of Statistical Computation and Simulation, 63, 217-234.

K D S Young [1999]Bayesian estimation of degradation by Weiner diffusion process subject to measurement error. Lifetime Data Analysis.

Papers 1998

U. Ascher & S. Reich [1998] On some difficulties in integrating highly oscillatory Hamiltonian systems, Lecture Notes in Computational Science and Engineering, Vol. 4, pp 281-296.

P. Ashwin [1998] Nonlinear dynamics, loss of synchronization and symmetry breaking, Proc. Inst. Mech. Eng. 212, pp 183-187.

P. Ashwin [1998] Boundary of two-frequency behaviour in a system of three weakly coupled electronic oscillators, Chaos, Solitons and Fractals 9, pp 1279-1287.

P. Ashwin & P.J. Aston [1998] Blowout bifurcations of codimension two, Phys.cs Lett. A 244, pp 261-270.

P. Ashwin, P.J. Aston & M. Nicol [1998] On the unfolding of a blowout bifurcation, Physica D 111, pp. 81-95.

P. Ashwin & P. Chossat [1998] Attractors for robust homoclinic cycles with continua of connections, J. Nonl. Sci. 8, pp 103-129.

P. Ashwin & A.M. Rucklidge [1998] Cycling chaos; its creation, persistence and loss of stability in a model of nonlinear magnetoconvection, Physica D, 122, pp 134-154.

P. Ashwin, J.R Terry, K.S. Thornburg Jr & R. Roy [1998] Blowout bifurcation in a system of coupled chaotic lasers, Phys. Rev. E 56, pp 7186-7189.

P. Ashwin & Mei Zhen [1998] A numerical bifurcation function for homoclinic orbits, SIAM J. Num. Anal. 35, pp 2055-2069.

P.J. Aston[1998] A chaotic Hopf bifurcation in coupled maps, Physica D 118, pp 199-220.

P.J. Aston[1998] Controlling chaos in systems with O(2) symmetry, Chaos, Solitons and Fractals 9, pp 1289-1296.

P.J. Aston & C.M. Bird [1998] Synchronisation of coupled systems via parameter perturbations, Phys. Rev. E 57, pp 2787-2794.

P.J. Aston & P.K. Marriott [1998] A waiting time paradox applied to transient times, Phys. Rev. E 57, pp 1181-1182.

M.V. Bartuccelli, S.A. Gourley & C.J. Woolcock [1998] Ladder Theorems and Length Scales in Solutions of a Generalised Diffusion Model, Physica Scripta 57, 9-19.

M.V. Bartuccelli, S.A. Gourley & C.J. Woolcock [1998] Conditions for positivity of solutions for a class of dissipative partial differential equations, Appl. Math. Lett. 11, 71-74.

M.A. Bees [1998] Planktonic communities and chaotic advection in deterministic models of Langmuir circulation, Proceedings of the Mixing in Geophysical Flows II conference. Applied Scientific Research 59, 141-158.

M.A. Bees & N.A. Hill [1998] Linear bioconvection in a suspension of randomly swimming, gyrotactic micro-organisms, Physics of fluids 10, 1864-1881.

M.A. Bees, N.A. Hill & T.J. Pedley [1998] Analytical approximations for the orientation distribution of small dipolar particles in steady shear flows, Journal of Mathematical Biology 36, 269-298.

M.A. Bees, I. Mezic & J. McGlade [1998] Planktonic interactions and chaotic advection in Langmuir circulation, Mathematics and Computers in Simulation 44, 527-544.

C.M. Bird & P.J. Aston [1998] Targeting in the presence of noise, Chaos, Solitons & Fractals 9, 251-259

T.J. Bridges [1998] Poisson structure of the reversible 1:1 resonance, Physica D 112, 40-49.

T.J. Bridges [1998] Toral-equivariant partial differential equations and quasiperiodic patterns, Nonlinearity 11, 467-500.

H. Bruin [1998] Topological conditions for the existence of Cantor attractors, Trans. Amer. Math. Soc. 350, 2229-2263. .pdf

H. Bruin [1998]For almost every tent-map, the turning point is typical, Fund. Math. 155, 215-235 .pdf

H. Bruin [1998] The existence of absolutely continuous invariant measures is not a topological invariant for unimodal maps, Ergod. Th.and Dyn. Sys. 18, 555-565. .pdf

H. Bruin & G. Keller [1998]Equilibrium states for unimodal maps, Ergod. Th. and Dyn. Sys. 18, 765-789. .pdf

H, Bruin & J. Hawkins [1998] Examples of expanding C1 maps having no sigma-finite invariant measure equivalent to Lebesgue, Isr. J. Math. 108, 83-107. .pdf

J.H.B. Deane & D.J. Jefferies [1998] Succinct representation of the Poincare map for periodically driven differential equations, in Proceedings of Complex'98 conference, Sydney, NSW, Australia.

G. Derks & T. Ratiu [1998] Attracting curves on families of stationary solutions in two-dimensional Navier-Stokes and reduced magnetohydrodynamics, Proc. Roy. Soc. Lond. A 454, 1406-1444.

P. Deuflhard, J. Hermans, B. Leimkuhler, A.E. Mark, S. Reich , & R.D. Skeel (eds.) [1998] Computational Molecular Dynamics: Challenges, Methods, Ideas Proceedings of the 2nd International Symposium on Algorithms for Macromolecular Modelling, Berlin, May 21-24, 1997. Lecture Notes in Computational Science and Engineering Vol. 4, Springer-Verlag.

P.E. Hydon [1998] Discrete point symmetries of ordinary differential equations, Proc. Roy. Soc. Lond. A 454, 1961-1972.

P.E. Hydon [1998] How to find discrete contact symmetries, J. Nonlin. Math. Phys. 5, 405-416.

R.B. Hoyle. [1998] Universal instabilities of rolls, squares and hexagons in Time dependent non-linear convection, P.A. Tyvand (ed.), Computational Mechanics Publications.

R.B. Hoyle. [1998] Zigzag and Eckhaus instabilities in a quintic order nonvariational Ginzburg-Landau equation. Phys. Rev. E 58, 7315-7318.

D.J. Jefferies & J.H.B. Deane [1998] Intermittency and evolution in variable structure systems, in Proceedings of Complex'98 conference, Sydney, NSW, Australia.

D.J. Jefferies & J.H.B. Deane [1998] The variable structure system: intermittency, chaos and trapping in electronic experiments and simulations, in 1998 International Symposium on Nonlinear Theory and its Applications (Nolta'98), Switzerland.

I.N. Kozin & R.M. Roberts [1998] Highly excited rotational dynamics of $H_{3}^{+}$. In "Molecular Quantum States at Dissociation" (eds R. Prosmiti, J. Tennyson and D.C. Clary), CCP6, Daresbury.

J.S.W. Lamb & M. Nicol [1998] On symmetric attractors in reversible dynamical systems, Physica D 112, pp 281-297.

I. Melbourne [1998] Derivation of the time-dependent Ginzburg-Landau equation on the line. J. Nonlin. Sci. 8 (1998) 1-15.

P. Nettesheim & S. Reich [1998] Symplectic multiple-time-stepping integrators for quantum-classical molecular dynamics, Lecture Notes in Computational Science and Engineering, Vol. 4, pp 412-420.

S. Reich [1998] Dynamical systems, numerical integration, and exponentially small estimates. Habilitationsschrift, Freie Universitat Berlin.

S. Reich [1998] Modified potential energy functions for constrained molecular dynamics, Numerical Algorithms 19, pp 213-221.

Papers 1997

P. Ashwin [1997] Cycles homoclinic to chaotic sets; robustness and resonance, Chaos 7, pp 207-220.

P. Ashwin [1997] Elliptic behaviour in the sawtooth standard map, Phys. Lett. A, 232, pp 409-416.

P. Ashwin, W.G. Chambers & G. Petkov [1997] Lossless digital filter overflow oscillations; approximation of invariant fractals, Int. J. Bif. Chaos 7, pp 2603-2610.

P. Ashwin & G.P. King [1997] A study of particle paths in non-axisymmetric Taylor-Couette flows, J Fluid Mech. 338, pp 341-362.

P. Ashwin & I. Melbourne [1997] Noncompact drift for relative equilibria and relative periodic orbits, Nonlinearity 10, pp 595-616.

P. Ashwin & M. Nicol [1997] Detecting symmetries from observations. Part I: Theory, Physica D 100, pp 58-70.

P. Ashwin & E. Stone [1997] On the influence of noise near blowout bifurcation, Phys. Rev. E 56, pp 1635-1641.

P. Ashwin & J. Tomes [1997] Detecting symmetries from observations. Part II: An experiment with S4 symmetry, Physica D 100, 71-84.

F. Amdjadi & P.J. Aston [1997] Numerical methods for steady state/Hopf mode interactions, Int. J. Bif. Chaos 7, 585-605.

F. Amdjadi & P.J. Aston [1997] Detection of tertiary Hopf bifurcations arising from mode interactions, Int. J. Bif. Chaos 7, 1691-1698.

F. Amdjadi, P.J. Aston & P. Plechac [1997] Symmetry-breaking Hopf bifurcations in equations with O(2) symmetry with application to the Kuramoto-Sivashinsky equation, J. Comp. Phys. 131, 181-192.

P.J. Aston & C.M. Bird [1997] Analysis of the control of chaos - extending the basin of attraction, Chaos, Solitons & Fractals 8, 1413-1429.

P.J. Aston, J.H.B. Deane, & D.C. Hamill [1997] Targeting in systems with discontinuities applied to the boost converter, IEEE Trans Cir Syst. 44, 1034-1039.

P.J. Aston, A. Spence & W. Wu [1997] Hopf bifurcation near a double singular point, J. Comp. Appl. Math. 80, 277-297.

M.V. Bartuccelli & S.A. Gourley [1997] A population model with time-dependent delay Math. & Comp. Modelling 26, 13-30.

M.A. Bees [1997] A mathematical model of speciation, In {\it Bio-physical Models of Oceanic Population Dynamics; 1994 Summer Study Program in Geophysical Fluid Dynamics. Woods Hole Oceanog. Inst. Tech. Rept., WHOI-97-18.

M.A. Bees & N.A. Hill [1997] Wavelengths of bioconvection patterns, Journal of Experimental Biology 200, pp 1515-1526.

T.B. Benjamin & T.J. Bridges [1997] Reappraisal of the Kelvin-Helmholtz problem. Part 1: Hamiltonian structure, J Fluid Mech 333, pp 301-25.

T.B. Benjamin & T.J. Bridges [1997] Reappraisal of the Kelvin-Helmholtz problem. Part 2: Interaction of the Kelvin-Helmholtz, Superharmonic and Benjamin-Feir instabilities, J Fluid Mech 333, pp 327-73.

L. Brevdo & T.J. Bridges [1997] Local and global instabilities of spatially developing flows: cautionary examples, Proc. Roy. Soc. Lond. A 453, pp 1345-1364.

L. Brevdo & T.J. Bridges [1997] Absolute and convective instabilites of temporally oscillating flows, Z. Angew. Math. Phys 48, pp 290-309.

T.J. Bridges [1997] Multi-symplectic structures and wave propagation, Math. Proc. Camb. Phil. Soc. 121, pp 147-90.

T.J. Bridges [1997] A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities, Proc. Roy. Soc. Lond. A 453, 1365-1395.

T.J. Bridges, J.E. Furter & A. Lahiri [1997] Instability and bifurcation near the symplectic 1:4 resonance, Dyn. & Stab. Sys. 12, 271-292.

H. Bruin, G. Keller & M. St. Pierre [1997] Adding machines and wild attractors, Ergod. Th. and Dyn. Sys. 17, 1267-1287. pdf 

H.M. Byrne & S.A. Gourley [1997] The role of growth factors in avascular tumour growth, Math. Comp. Mod. 26(4), 35-55.

V. Capasso & R.E. Wilson [1997] Analysis of a Reaction-Diffusion System Modelling Man-Environment-Man Epidemics, SIAM J. Appl. Math. 57, 327-346.

P. Chossat, M. Krupa I. Melbourne & A. Scheal [1997] Transverse bifurcations of homoclinic cycles. PhysicaD 100, 85-100.

E. Covas, P. Ashwin and R. Tavakol [1997] Non-normal parameter blowout bifurcation in a truncated mean field dynamo, Phys Rev E 56, 6451-6458.

J.H.B. Deane, G.G. Johnstone, A.W. Ledford & M.J. Underhill [1997] Extreme value theory applied to multi-channel communication systems, Electronics Letters, vol 33 no 10, 832-833.

M. Golubitsky, V.G. LeBlank & I. Melbourne [1997] Meandering of the spiral tip: an alternative approach. J. Nonlin. Sci. 7, 557-586.

S.A. Gourley & M.V. Bartuccelli [1997] Parameter domains for instability of uniform states in systems with many delays, J Math. Biol. 35, 843-867.

D.C. Hamill, J.H.B. Deane, & P. Aston [1997] Some applications of chaos in power electronics, IEE Colloquium: Update on new power electronic techniques, Digest no 1997/091, 5/1-5/5.

R.B. Hoyle & A.W. Woods. [1997] Analytical model of propagating sand ripples. Phys. Rev. E 56 6861-6868.

D.J. Jefferies & J.H.B. Deane [1997] Noise, traps and snags in iterating systems, in Proceedings of the European Conference on Circuit Theory and Design, 1014.

I. Melbourne & I.N. Stewart [1997] Symmetric omega-limit sets for smooth Gamma-equivariant dynamical systems with Gamma0 abelian. Nonlinearity 10, 1551-1567.

S. Reich [1997] On higher-order semi-explicit symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems, Numerische Mathematik 76, 231-247.

R.M. Roberts & M.E.R. Sousa Dias [1997] Bifurcations from relative equilibria of Hamiltonian systems. Nonlinearity 10, 1719-1738.

V.N. Roubtsov and I. Roulstone [1997] Examples of quaternionic and K\"ahler structures in hamiltonian models of nearly geostrophic flow J. Phys.A.: Math. Gen., 30, L63-L68.

I. Roulstone and M.J. Sewell [1997] The mathematical structure of theories of semi-geostrophic type Phil. Trans. R. Soc. Lond., A 355, 2489-2517.

R. Shail [1997] Some regular perturbation solutions in fluid mechanics, Q. J. Mech. & Appl. Math. 50, 129-47.

R. Shail [1997] On the asymptotic expansion of certain functions defined by infinite series, Mathematika 44, 381-406.

W.E. Williams [1997] A class of Dirichlet problems for the Helmholtz equation, Q. J. Mech. & Appl. Math. 50, 457-466.

R.E. Wilson [1997] Numerically derived scalings for the complex Ginzburg-Landau equation, Physica D 112, 329-343.

C.J. Woolcock & M.V. Bartuccelli [1997] The rate of decay for solutions in nonlinear dissipative partial differential equations, Phys. Lett. A 236, 415-424.

Papers 1996

D. Aronson, M. Krupa & P. Ashwin [1996] Semirotors in the Josephson junction equations, J. of Nonl. Sc. 6, 85-103.

P. Ashwin [1996] Non-smooth invariant circles in digital overflow oscillations In: NDES96: Proceedings of the fourth international workshop on Nonlinear Dynamics of Electronic Systems, Seville,  417-422.

P. Ashwin, J. Buescu & I. Stewart [1996] From attractor to chaotic saddle: a tale of transverse instability, Nonlinearity 9, 703-737.

P. Ashwin, Mei Zhen & K. Boehmer [1996] Forced symmetry breaking of homoclinic cycles in a PDE with O(2) symmetry, J. Comp. Appl. Math. 70, 297-310.

P.J. Aston (ed.) [1996] Nonlinear Mathematics and Its Applications, CUP.

P.J. Aston & E.L. Allgower [1996] Symmetry reductions for the numerical solution of boundary value problems, In The Mathematics of Numerical Analysis, Proc. AMS-SIAM Summer Seminar in Appl. Math., Utah, eds. J. Renegar, M. Shub and S. Smale, Lectures in Appl. Math., Vol 32, 29-47.

P.J. Aston & A.G. Sittampalam [1996] Numerical methods for steady-state mode interactions, IMA J. Num. Anal. 16, 435-456.

M.V. Bartuccelli, J.D. Gibbon & M. Oliver [1996] Length Scales in Solutions of the Complex Ginzburg-Landau Equation,. Physica D 89, 267-286.

M.A. Bees [1996] Non-linear pattern generation by swimming micro-organisms. PhD thesis, Univ. Leeds.

L. Brevdo & T.J. Bridges [1996] Absolute and convective instabilities of spatially periodic flows, Phil. Trans. Roy. Soc. Lond. A354}, pp 1027-64.

T.J. Bridges [1996] Periodic patterns, linear instability, symplectic structure and mean-flow dynamics for 3D surface waves, Phil. Trans. Roy. Soc. Lond. A354, pp 533-74.

T.J. Bridges [1996] Hamiltonian structure of plane wave instabilities, Fields Inst. Comm. 8, pp 19-33. (Proc Field's Inst. Workshop on Conservative Systems and Quantum Chaos, Ed. D. Rod).

T.J. Bridges [1996] Recent developments on wave instability, In Nonl. Maths. \& Appl.: Proc. EPSRC Spring School (Ed. P J Aston, published by CUP), 205-217.

T.J. Bridges & F. Dias [1996] Spatially quasiperiodic capillary-gravity waves, Contemporary Mathematics 200, 31-45. (Proceedings).

T.J. Bridges & A. Mielke [1996] Instability of spatially-periodic states for a family of semilinear PDEs on an infinite strip, Math. Nachtr. 179, 5-25.

H. Bruin, G. Keller, T. Nowicki & S. van Strien [1996] Wild Cantor attractors exist, Annals of Math. 143, 97-130. pdf

H. Bruin [1996] Quasi-symmetry of conjugacies between interval maps, Nonlinearity 9, 1191-1207. pdf

H. Bruin [1996] An algorithm to compute the topological entropy of a unimodal map, Proceedings contribution for the conference in memory of W. Szlenk, Barcelona (1996) Internat. J. Bifur. Chaos 9 (1999), 1881-1882. pdf

J.H.B. Deane & D.C. Hamill [1996] Improvement of power supply EMC by chaos, Electronics Letters, vol 32 no 12, 1045.

J.H.B. Deane & D.J. Jefferies [1996] The behaviour of coupled map chains, in Complex Systems: from local interactions to global phenomena, (COMPLEX'96 Conference Proceedings), Albury, New South Wales, Australia, 114-120.

J.H.B. Deane, C. Smythe & D.J. Jefferies [1996] Self-similarity in a deterministic model of data transfer, International Journal of Electronics, vol 80, no 5, 677-691.

G. Derks & E. van Groesen [1996] Dissipation in Hamiltonian systems: Decaying cnoidal waves, SIAM J. of Math. Anal. 27, 1424-1447.

M. Field, I. Melbourne & M. Nicol [1996] Symmetric attractors for diffeomorphisms and flows. Proceedings of the LMS 72, 657-696.

M. Golubitsky, J.M. Mao & M. Nicol [1996] Symmetries of periodic solutions for planar potential systems, Proceedings of the AMS 124, pp 3219-3228.

S.A. Gourley [1996] Instability in a predator-prey system with delay and spatial averaging, IMA J. Appl. Maths. 56, 121-132.

S.A Gourley & N.F. Britton [1996] A predator prey reaction diffusion system with nonlocal effects, J. Math. Biol. 34, 297-333.

S.A. Gourley, N.F. Britton, M.A.J. Chaplain & H.M. Byrne [1996] Mechanisms for Stabilisation and Destabilisation of Systems of Reaction-Diffusion Equations, J. Math. Biol 34, 857-877.

R. Hide, A.C. Skeldon and D. Acheson [1996] A study of two novel self-exciting single disk homopolar dynamos: theory. Proc. Roy. Soc. Lond. A, 452, 1369-1395.

P.E. Hydon [1996] Conformal symmetries of first order ordinary differential equations, J. Phys. A 29, 385-392.

P.E. Hydon [1996] A direct method for linear equations in branching networks, Med. Biomed. Engng. Comp. 34, 389-393.

P.E. Hydon [1996] Chaotic transport in a pipe of uniform curvature, Zeit. Ang. Math. Mech. 292, 215-216.

P.E. Hydon & T.J. Pedley [1996] Dispersion in oscillatory channel flow with coupled transverse wall motion, Eur. J. Mech. B 15, 143-156.

R.B. Hoyle G.B. McFadden & S.H. Davis. [1996] Pattern selection with anisotropy during directional solidification. Phil. Trans. R. Soc. Lond. A 354 2915-2949.

M. Impey, R.M. Roberts & I.N. Stewart [1996] Hidden symmetries and pattern formation in Lapwood convection. Dyn. Stab. Systems 11, 155 - 192.

B. Leimkuhler, S. Reich & R.D. Skeel [1996] Integration methods for molecular dynamics, In: IMA Volumes in Mathematics and its Applications Vol. 82, Springer Verlag, 161-186.

I. Melbourne [1996] Generalizations of a result on symmetry groups of attractors. Pattern Formation: Symmetry Methods and Applications (J. Chadam et al. eds.) Fields Institute Communications 5, AMS, 281-295.

M. Nicol [1996] Stochastic stability of Bernoulli toral linked twist maps of finite and infinite entropy, Ergodic Theory and Dynamical Systems 16, 1-26.

M. Nicol [1996] A Bernoulli toral linked twist map without positive Lyapunov exponents, Proceedings of the AMS 124, 1253-1263.

M. Nicol [1996] Symmetries of the asymptotic dynamics of random compositions of equivariant maps, Nonlinearity 9, 225-235.

S. Reich [1996] Enhanced energy conserving methods, BIT 36, 122-134.

S. Reich [1996] Symplectic integration of conservative multibody systems, Fields Institute Communications, 10, 181-191.

S. Reich [1996] Torsion dynamics of molecular systems, Phys. Rev. E 53,  4176-4181.

S. Reich [1996] Symplectic integration of constrained Hamiltonian systems by composition methods, SIAM J. Numer. Anal. 33, 475-491.

I. Roulstone and M.J. Sewell [1996] Potential Vorticities in Semi-Geostrophic Theory Quart. J. R. Meteorol. Soc., 122, 983-992.

A.C. Skeldon, D.S. Riley and K.A. Cliffe [1996] Convection in a low Prandtl number fluid, J. Crystal Growth, 162, 95-106.

K.D.S Young [1996] Bayesian classification using predictive diagnostics. In "Data Analysis and Information Systems" (H Bock and W Polasek, eds), 342-351.

K D S Young and L I Pettit [1996] Measuring discordancy between prior and data. Journal of the Royal Statistical Society, B58, 679-689.

K D S Young and L I Pettit [1996] On priors and Bayes factors. Journal of Econometrics, 75, 113-119.

Papers 1995

H. Bruin [1995] Induced maps, Markov extensions and invariant measures in one-dimensional dynamics, Commun. Math. Phys. 168, 571-582. pdf 

H. Bruin [1995] Combinations of the kneading map, Int. Jour. of Birfur. and Chaos 5, 1339-1349. pdf

H. Bruin [1995] Non-monotonicity of entropy of interval maps, Phys. Lett A 202, 359-362. pdf

Papers 1994

H. Bruin [1994] Topological conditions for the existence of invariant measures for unimodal maps, Ergod. Th. and Dyn. Sys. 14, 433-451. pdf

Papers 1992

H. Bruin [1992] Numerical determination of the continued fraction expansion of the rotation number, Physica D 59, 158-168.