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

Julyan H. E. Cartwright; Marcelo O. Magnasco; Oreste Piro

doi:10.1103/PhysRevE.65.045203

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

Julyan H. E. Cartwright, Marcelo O. Magnasco, and Oreste Piro

Phys. Rev. E 65, 045203(R) – Published 3 April 2002; Erratum Phys. Rev. E 65, 069902 (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.

Received 22 September 2001
Publisher error corrected 9 April 2002

DOI:https://doi.org/10.1103/PhysRevE.65.045203

Corrections

9 April 2002

Erratum

Publisher’s Note: Bailout embeddings, targeting of invariant tori, and the control of Hamiltonian chaos [Phys. Rev. E 65, 045203 (2002)]

Julyan H. E. Cartwright, Marcelo O. Magnasco, and Oreste Piro

Phys. Rev. E 65, 069902 (2002)

Authors & Affiliations

Julyan H. E. Cartwright^1,*, Marcelo O. Magnasco^2,†, and Oreste Piro^3,‡

¹Laboratorio de Estudios Cristalográficos, CSIC, E-18071 Granada, Spain
²Mathematical Physics Laboratory, Rockefeller University, Box 212, 1230 York Avenue, New York, New York 10021
³Institut Mediterrani d’Estudis Avançats, CSIC-UIB, E-07071 Palma de Mallorca, Spain

^*URL: http://lec.ugr.es/ $\tilde{}$ julyan. Electronic address: julyan@lec.ugr.es
^†URL: http://asterion.rockefeller.edu/. Electronic address: marcelo@sur.rockefeller.edu
^‡URL: http://www.imedea.uib.es/ $\tilde{}$ piro. Electronic address: piro@imedea.uib.es

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Issue

Vol. 65, Iss. 4 — April 2002

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