Hyperbolic periodic points for chain hyperbolic homoclinic classes
Dynamical Systems
2015-05-25 v1
Abstract
In this paper we establish a closing property and a hyperbolic closing property for thin trapped chain hyperbolic homoclinic classes with one dimensional center in partial hyperbolicity setting. Taking advantage of theses properties, we prove that the growth rate of the number of hyperbolic periodic points is equal to the topological entropy. We also obtain that the hyperbolic periodic measures are dense in the space of invariant measures.
Cite
@article{arxiv.1505.06148,
title = {Hyperbolic periodic points for chain hyperbolic homoclinic classes},
author = {Wenxiang Sun and Yun Yang},
journal= {arXiv preprint arXiv:1505.06148},
year = {2015}
}
Comments
15 pages, 1 figures