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Periodic and quasi-periodic attractors of weakly-dissipative nearly-integrable systems

Periodic and quasi-periodic attractors of weakly-dissipative nearly-integrable systems We consider nearly-integrable systems under a relatively small dissipation. In particular we investigate two specific models: the discrete dissipative standard map and the continuous dissipative spin-orbit model. With reference to such samples, we review some analytical and numerical results about the persistence of invariant attractors and of periodic attractors. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Regular and Chaotic Dynamics Springer Journals

Periodic and quasi-periodic attractors of weakly-dissipative nearly-integrable systems

Regular and Chaotic Dynamics , Volume 14 (1) – Feb 10, 2009

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References (33)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Pleiades Publishing, Ltd.
Subject
Mathematics; Dynamical Systems and Ergodic Theory
ISSN
1560-3547
eISSN
1468-4845
DOI
10.1134/S1560354709010067
Publisher site
See Article on Publisher Site

Abstract

We consider nearly-integrable systems under a relatively small dissipation. In particular we investigate two specific models: the discrete dissipative standard map and the continuous dissipative spin-orbit model. With reference to such samples, we review some analytical and numerical results about the persistence of invariant attractors and of periodic attractors.

Journal

Regular and Chaotic DynamicsSpringer Journals

Published: Feb 10, 2009

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