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Open Access item Bailout embeddings, targeting of invariant tori, and the control of Hamiltonian chaos

Authors:Cartwright, Julyan H. E.
Magnasco, Marcelo O.
Piro, Oreste
Keywords:Hamiltonian Chaos, Control of Chaos
Issue Date:3-Apr-2002
Publisher:American Physical Society
Citation:Physical Review E 65(4): 045203.1-045203.4 (2002)
Abstract: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.
Description:4 pages, 3 figures.-- PACS number(s): 05.45.Gg
Publisher version (URL):http://dx.doi.org/10.1103/PhysRevE.65.045203
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