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Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan

Published online by Cambridge University Press:  19 September 2008

Christian Bonatti  and
Boris Kolev
Christian Bonatti
Affiliation:
Laboratoire de Topologie URA CNRS 755, Département de Mathématiques, Université de Bourgogne, BP 138, 21004 Dijon Cedex, France
Boris Kolev
Affiliation:
INLN, UMR CNRS 129, Université de Nice, Pare Valrose, F-06034 Nice Cedex, France
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Abstract

Let ƒ be an orientation-preserving homeomorphism of the plane such that ƒ-Id is contracting. Under these hypotheses, we establish the existence for every periodic orbit , of a fixed point which has a nonzero linking number with .

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 12 , Issue 4 , December 1992 , pp. 677 - 682
Copyright
Copyright © Cambridge University Press 1992

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References

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