Newhouse phenomenon and homoclinic classes
Dynamical Systems
2007-12-05 v1 Geometric Topology
Abstract
We show that for a residual subset of diffeomorphisms far away from tangency, every non-trivial chain recurrent class that is accumulated by sources ia a homoclinic class contains periodic points with index 1 and it's the Hausdorff limit of a family of sources.
Cite
@article{arxiv.0712.0513,
title = {Newhouse phenomenon and homoclinic classes},
author = {Jiagang Yang},
journal= {arXiv preprint arXiv:0712.0513},
year = {2007}
}