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.
Publié le : 1992-07-05
Classification:
Periodic orbits,
Linking numbers,
Surfaces homeomorphisms,
MSC : 55M20, 54H20,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
@article{hal-00003268,
author = {Bonatti, Christian and Kolev, Boris},
title = {Existence de points fixes enlac\'es \`a une orbite p\'eriodique d'un hom\'eomorphisme du plan},
journal = {HAL},
volume = {1992},
number = {0},
year = {1992},
language = {fr},
url = {http://dml.mathdoc.fr/item/hal-00003268}
}
Bonatti, Christian; Kolev, Boris. Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan. HAL, Tome 1992 (1992) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003268/