Partial Hyperbolicity and Homoclinic Tangencies
Dynamical Systems
2011-03-07 v1
Abstract
We show that any diffeomorphism of a compact manifold can be C1 approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic structure.
Cite
@article{arxiv.1103.0869,
title = {Partial Hyperbolicity and Homoclinic Tangencies},
author = {Sylvain Crovisier and Martin Sambarino and Dawei Yang},
journal= {arXiv preprint arXiv:1103.0869},
year = {2011}
}