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

Cartwright, Julyan H. E.; Magnasco, Marcelo; Piro, Oreste
Physical Review E, Rapid Communications 65, 045203(R)-045207(R) (2002)

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.

Files bailout.pdf (277144 Bytes)
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