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arXiv · 0712.1802

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

Christian Bonatti·Boris Kolev
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Abstract

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

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Christian Bonatti, Boris Kolev. 2007-12-11. Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan. https://arxiv.org/abs/0712.1802

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