Bailout Embeddings, Targeting of KAM Orbits, and the Control of Hamiltonian Chaos

Details Bailout Embeddings, Targeting of KAM Orbits, and the Control of Hamiltonian Chaos Bailout Embeddings, Targeting of KAM Orbits, and the Control of Hamiltonian Chaos

2001-11-02

arxiv.org/abs/nlin/0111005v1

Nonlinear Sciences

Chaotic Dynamics

3 figures, 9 subpanels

Scientific paper

10.1103/PhysRevE.65.045203

We present a novel 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 KAM orbits. We show how the bailout dynamics is able to lock onto
extremely small KAM islands in an ergodic sea.

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