Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle
Dynamical Systems
2018-02-05 v3
Abstract
We consider the set of partially hyperbolic symplectic diffeomorphisms which are accessible, have 2-dimensional center bundle and satisfy some pinching and bunching conditions. In this set, we prove that the non-uniformly hyperbolic maps are open and there exists a open and dense subset of continuity points for the center Lyapunov exponents. We also generalize these results to volume-preserving systems.
Keywords
Cite
@article{arxiv.1604.05987,
title = {Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle},
author = {Chao Liang and Karina Marin and Jiagang Yang},
journal= {arXiv preprint arXiv:1604.05987},
year = {2018}
}
Comments
Final version. Published online on Annales de l'Institut Henri Poincar\'e, Analyse non lin\'eaire