arXiv:math/0503225 Abstract

arXiv:math/0503225 [math.DS]Abstract References Reviews Resources

A $C^{r}$ Closing Lemma for a Class of Symplectic Diffeomorphisms

Published 2005-03-11Version 1

We prove a $C^r$ closing lemma for a class of partially hyperbolic symplectic diffeomorphisms. We show that for a generic $C^r$ symplectic diffeomorphism, $r =1, 2, ...,$, with two dimensional center and close to a product map, the set of all periodic points is dense.

DOI: 10.1088/0951-7715/19/2/015

Categories: math.DS

Subjects: 37J10, 37J45

Keywords: closing lemma, partially hyperbolic symplectic diffeomorphisms, dimensional center, product map, periodic points

Tags: journal article

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