Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609299 | Journal of Differential Equations | 2016 | 18 Pages |
Abstract
We consider a hyperbolic ergodic measure of a C1C1 flow on a compact manifold. Under the hypothesis that there are no fixed points and that the Oseledec splitting of the normal bundle satisfies a limit domination property, we prove that the measure has a shadowing property. As an application of this result we prove that the measure can be approached on the weak⁎ topology by measures supported on hyperbolic periodic orbits.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wenxiang Sun, Xueting Tian, Edson Vargas,