Bailout embeddings, targeting of invariant tori, and the control of Hamiltonian chaos.
We introduce a technique, which we term bailout embedding, that can be used to target orbits having particular properties out of all orbits in a flow or map. We explicitly construct a bailout embedding for Hamiltonian systems so as to target invariant tori. We show how the bailout dynamics are able to lock onto extremely small regular islands in a chaotic sea.
Cartwright
Julyan H E
JH
Laboratorio de Estudios Cristalográficos, CSIC, E-18071 Granada, Spain. julyan@lec.ugr.es
Magnasco
Marcelo O
MO
Piro
Oreste
O