6533b871fe1ef96bd12d1b51
RESEARCH PRODUCT
Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan
Boris KolevChristian Bonattisubject
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 54H20Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-01-01 |