Global Saddles for Planar Maps
Dynamical Systems
2016-09-15 v2
Abstract
We study the dynamics of planar diffeomorphisms having a unique fixed point that is a hyperbolic local saddle. We obtain sufficient conditions under which the fixed point is a global saddle. We also address the special case of -symmetric maps, for which we obtain a similar result for homeomorphisms. Some applications to differential equations are also given.
Cite
@article{arxiv.1605.08000,
title = {Global Saddles for Planar Maps},
author = {Begoña Alarcón and Sofia B. S. D. Castro and Isabel S. Labouriau},
journal= {arXiv preprint arXiv:1605.08000},
year = {2016}
}