A $C^{r}$ Closing Lemma for a Class of Symplectic Diffeomorphisms
Dynamical Systems
2009-11-11 v1
Abstract
We prove a closing lemma for a class of partially hyperbolic symplectic diffeomorphisms. We show that for a generic symplectic diffeomorphism, , with two dimensional center and close to a product map, the set of all periodic points is dense.
Keywords
Cite
@article{arxiv.math/0503225,
title = {A $C^{r}$ Closing Lemma for a Class of Symplectic Diffeomorphisms},
author = {Zhihong Xia and Hua Zhang},
journal= {arXiv preprint arXiv:math/0503225},
year = {2009}
}