Lyapunov stable chain recurrent classes
Dynamical Systems
2007-12-05 v1 General Topology
Abstract
We show that for a residual subset of diffeomorphisms far away from homoclinic tangency, the stable manifolds of periodic points cover a dense subset of the ambient manifold. This gives a partial proof to a conjecture of C. Bonatti.
Cite
@article{arxiv.0712.0514,
title = {Lyapunov stable chain recurrent classes},
author = {Jiagang Yang},
journal= {arXiv preprint arXiv:0712.0514},
year = {2007}
}