Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
Dynamical Systems
2016-08-15 v1
Abstract
We prove here that in the complement of the closure of the hyperbolic surface diffeomorphisms, the ones exhibiting a homoclinic tangency are C^1 dense. This represents a step towards the global understanding of dynamics of surface diffeomorphisms.
Cite
@article{arxiv.math/0005303,
title = {Homoclinic tangencies and hyperbolicity for surface diffeomorphisms},
author = {Enrique R. Pujals and Martín Sambarino},
journal= {arXiv preprint arXiv:math/0005303},
year = {2016}
}
Comments
63 pages, published version