3 papers
math.DS2018
-openness of non-uniform hyperbolic diffeomorphisms with bounded norm
Chao Liang, Karina Marin, Jiagang Yang
We study the -topological properties of the subset of non-uniform hyperbolic diffeomorphisms in a certain class of partially hyperbolic symplectic systems which have bou…
math.DS2015
On density of positive Lyapunov exponents for symplectic diffeomorphisms
Chao Liang
Let be a 2dimensional compact connected Riemannian manifold and be a symplectic form on . In this paper, we prove that a symplectic diffeomorphism, with all Lyapunov…
math.DS2010
Some results on perturbations to Lyapunov exponents
Chao Liang, Wenxiang Sun, Jiagang Yang
In this paper, we study two properties of the Lyapunov exponents under small perturbations: one is when we can remove zero Lyapunov exponents and the other is when we can distingui…