Periodic orbits and homoclinic loops for surface homeomorphisms
Dynamical Systems
2007-05-23 v1
Abstract
Let p be a saddle fixed point for an orientation-preserving surface diffeomorphism f admitting a homoclinic point q. Let V be an open 2-cell bounded by a simple loop formed by two arcs joining p to q lying respectively in the stable and unstable curves at p. It is shown that f|V has fixed point index 1 or 2 depending only on the geometry of V near p.
Keywords
Cite
@article{arxiv.math/0512223,
title = {Periodic orbits and homoclinic loops for surface homeomorphisms},
author = {Morris W. Hirsch},
journal= {arXiv preprint arXiv:math/0512223},
year = {2007}
}
Comments
Slight correction of published version. 13 pages