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

1992

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.

55M20 54H20Surfaces homeomorphismsPlane (geometry)Applied MathematicsGeneral Mathematics010102 general mathematics[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Linking numberFixed pointLinking numbers01 natural sciencesHomeomorphism010101 applied mathematicsCombinatoricssymbols.namesakesymbolsPeriodic orbitsPeriodic orbitsAstrophysics::Earth and Planetary AstrophysicsMathematics - Dynamical Systems0101 mathematicsMSC : 55M20 54H20Mathematics
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