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A remark on the multiplicity of monotone periodic orbits

Published online by Cambridge University Press:  10 December 2009

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Abstract

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We give a new proof of the fact that an area-preserving monotone twist map of the annulus with one p/q-periodic orbit on which the map preserves the ordering on the angular coordinate (i.e. Birkhoff or monotone periodic orbits) actually has a second such orbit distinct from the first.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 8 , Volume 8: Charles Conley Memorial Issue , December 1988, pp. 109 - 118
Copyright
Copyright © Cambridge University Press 1988

References

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