23 citations · 70 across the 14 of their papers we have counts for
14 papers
Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits
Wenxiang Sun, Zhenqi Jenny Wang
Lyapunov exponents of a hyperbolic ergodic measure are approximated by Lyapunov exponents of hyperbolic atomic measures on periodic orbits.
Hyperbolic periodic points for chain hyperbolic homoclinic classes
Wenxiang Sun, Yun Yang
In this paper we establish a closing property and a hyperbolic closing property for thin trapped chain hyperbolic homoclinic classes with one dimensional center in partial hyperbol…
Continuity of entropy map for nonuniformly hyperbolic systems
Gang Liao, Wenxiang Sun, Shirou Wang
We prove that entropy map is upper semi-continuous for C1 nonuniformly hyperbolic systems with domination, while it is not true for C1+alpha nonuniformly hyperbolic systems in gene…
Approximation of Oseledets Splittings
Chao Liang, Gang Liao, Wenxiang Sun
We prove that the Oseledets splittings of an ergodic hyperbolic measure of a diffeomorphism can be approximated by that of atomic measures on hyperbolic periodic orbits.…
Entropy and periodic orbits for equivalent smooth flows
Gang Liao, Wenxiang Sun
Given any , we construct two equivalent flows, one of which has positive topological entropy larger than and admits zero as the exponential growth of periodic orbits…
Variational equalities of entropy in nonuniformly hyperbolic systems
Chao Liang, Gang Liao, Wenxiang Sun +1
In this paper we prove that for an ergodic hyperbolic measure of a diffeomorphism on a Riemannian manifold , there is an -full measured set su…