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Periodic orbits for dissipative twist maps

Published online by Cambridge University Press:  19 September 2008

Martin Casdagli
Martin Casdagli
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA and Mathematics Institute, University of Warwick, Coventry CV47AL, England
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Abstract

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We develop simple topological criteria for the existence of periodic orbits in maps of the annulus. These are applied to one-parameter families of dissipative twist maps of the annulus and their attractors. It follows that many of the motions found by variational methods in area preserving twist maps also occur in the dissipative case.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 2 , June 1987 , pp. 165 - 173
Copyright
Copyright © Cambridge University Press 1987

References

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