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

AuthorsCartwright, Julyan H. E. ; Magnasco, Marcelo O.; Piro, Oreste
KeywordsHamiltonian Chaos
Control of Chaos
Issue Date3-Apr-2002
PublisherAmerican Physical Society
CitationPhysical Review E 65(4): 045203.1-045203.4 (2002)
AbstractWe 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.
Description4 pages, 3 figures.-- PACS number(s): 05.45.Gg
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.65.045203
Appears in Collections:(IMEDEA) Artículos
(IACT) Artículos
(IFISC) Artículos
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