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

Julyan H. E. Cartwright·Marcelo O. Magnasco·Oreste Piro
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Abstract

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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Julyan H. E. Cartwright, Marcelo O. Magnasco, Oreste Piro. 2001-11-02. Bailout Embeddings, Targeting of KAM Orbits, and the Control of Hamiltonian Chaos. https://doi.org/10.1103/physreve.65.045203

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