A Closing Lemma for a Class of Symplectic Diffeomorphisms
arXiv:math/0503225 · doi:10.1088/0951-7715/19/2/015
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.