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Fixed point linked with a periodic orbit of a diffeomorphism of \(\mathbb{R}{}^ 2\). (Point fixe lié à une orbite périodique d’un difféomorphisme de \(\mathbb{R}{}^ 2\).) (French) Zbl 0755.58008
For a given \(C^ 1\)-diffeomorphism of \(\mathbb{R} ^ 2\) which possesses a periodic orbit, the author shows how Nielsen fixed point theory can be used to establish the existence of a fixed point linked with this periodic orbit.
Reviewer: W.Mozgawa (Lublin)
MSC:
58C30 Fixed-point theorems on manifolds
57R50 Differential topological aspects of diffeomorphisms
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