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Dynamique des homéomorphismes du plan au voisinage d’un point fixe. (Dynamics of plane homeomorphismus near a fixed point). (French. English summary) Zbl 1017.37017
Summary: We study the dynamics of a homomorphism of a surface near a fixed point. We compute the sequence of the Lefschetz indices of the iterates of the map. We deduce the existence of an infinite number of periodic orbits for some conservative homeomorphisms of surfaces.

MSC:
37E30 Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory, local dynamics
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