$C^r$-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms
Dynamical Systems
2016-05-10 v2
Abstract
We use the Invariance Principle of Avila and Viana to prove that every partially hyperbolic symplectic diffeomorphism with 2-dimensional center bundle, and satisfying certain pinching and bunching conditions, can be -approximated by non-uniformly hyperbolic diffeomorphisms.
Keywords
Cite
@article{arxiv.1510.06300,
title = {$C^r$-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms},
author = {Karina Marin},
journal= {arXiv preprint arXiv:1510.06300},
year = {2016}
}