$C^1$-openness of non-uniform hyperbolic diffeomorphisms with bounded $C^2$ norm
Dynamical Systems
2019-11-01 v2
Abstract
We study the -topological properties of the subset of non-uniform hyperbolic diffeomorphisms in a certain class of partially hyperbolic symplectic systems which have bounded distance to the identity. In this set, we prove the stability of non-uniform hyperbolicity as a function of the diffeomorphism and the measure, and the existence of an open and dense subset of continuity points for the center Lyapunov exponents. These results are generalized to the volume-preserving context.
Keywords
Cite
@article{arxiv.1808.04003,
title = {$C^1$-openness of non-uniform hyperbolic diffeomorphisms with bounded $C^2$ norm},
author = {Chao Liang and Karina Marin and Jiagang Yang},
journal= {arXiv preprint arXiv:1808.04003},
year = {2019}
}
Comments
A new theorem has been added