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

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

2005-03-11

arxiv.org/abs/math/0503225v1

Mathematics

Dynamical Systems

Scientific paper

10.1088/0951-7715/19/2/015

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.

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