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

Author:

Bonatti Christian,Kolev Boris

Abstract

AbstractLet 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 .

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. Fixed points for orientation preserving homeomorphisms of the plane which interchange two points

2. [B-F] Boyland P. & Franks J. . Notes on dynamics of surface homeomorphisms. Informal lectures notes, Warwick (1989).

3. Periodic orbits and fixed points of a C1 orientation-preserving embedding of D2

4. [Fr] Franks J. . Geodesies on S2 and periodic points of annulus diffeomorphisms. Preprint (1991).

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