My research project
Continuation of Heteroclinic Connections between Quasi-periodic Orbits
Heteroclinic connections between quasi-periodic orbits provide incredibly useful opportunities for novel spacecraft mission design. However, finding these connections is difficult. My research explores systematic methods of discovering these connections via dimension reduction methods. Once connections are found this way, we propose that pseudo-arc length continuation can be used to explore families of heteroclinic connections, removing much of the difficulty associated with exploiting these unique and useful trajectories.