Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10224110 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2018 | 20 Pages |
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 Cr open and there exists a Cr open and dense subset of continuity points for the center Lyapunov exponents. We also generalize these results to volume-preserving systems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chao Liang, Karina Marin, Jiagang Yang,