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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.