Alternating Period-Doubling Cascades
- When?
- Wednesday 17 November 2010, 16:00 to 17:00
- Where?
- 24AA04
- Open to:
- Students, Staff
- Speaker:
- Neil Bristow (Surrey)
Abstract: Period-doubling cascades occur in many one-parameter maps, and may be either supercritical or subcritical. In a two-parameter system it is possible that for one fixed value of the second parameter we observe a supercritical period-doubling cascade on varying the first parameter, and that for a different (fixed) value of the second parameter we observe a subcritical period-doubling cascade. We investigate what happens for intermediate values of the second parameter in such systems. In particular, we present a structure which we call an "alternating period-doubling cascade".
I will go through some properties of alternating period-doubling cascades, and show one way in which they can be generated. I will then describe a classification of certain transitions of period-doubling cascades from supercritical to subcritical, and investigate the universal properties of alternating period-doubling cascades.
