Given a diffeomorphism of the plane, which has a periodic orbit, we show how Nielsen fixed point theory can be used to establish the existence of a fixed point which is linked with this periodic orbit.
Publié le : 1990-07-05
Classification:
Nielsen theory,
Dynamics of surfaces homeomorphisms,
AMS: 55M20; 57N05; 58C30; 58F20,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
@article{hal-00003274,
author = {Kolev, Boris},
title = {Point fixe li\'e \`a une orbite p\'eriodique d'un diff\'eomorphisme de R2},
journal = {HAL},
volume = {1990},
number = {0},
year = {1990},
language = {fr},
url = {http://dml.mathdoc.fr/item/hal-00003274}
}
Kolev, Boris. Point fixe lié à une orbite périodique d'un difféomorphisme de R2. HAL, Tome 1990 (1990) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003274/