Bailout embeddings, targeting of invariant tori, and the control of Hamiltonian chaos.
نویسندگان
چکیده
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.
منابع مشابه
Bailout Embeddings, Targeting of KAM Orbits, and the Control of Hamiltonian Chaos
Control of chaos in nonlinear dynamical systems has been achieved by applying small perturbations that effectively change the dynamics of the system around the region — typically a periodic orbit — that one wishes to stabilize [1]. This method has been successful in dissipative systems, but its extensions to control and targeting in Hamiltonian systems [2– 10] have met various difficulties not ...
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عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 65 4 Pt 2A شماره
صفحات -
تاریخ انتشار 2002