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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Non-uniformly hyperbolic flows and shadowing

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Author(s):
Sun, Wenxiang [1] ; Tian, Xueting [2] ; Vargas, Edson [3]
Total Authors: 3
Affiliation:
[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871 - Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433 - Peoples R China
[3] Univ Sao Paulo, Dept Math, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Differential Equations; v. 261, n. 1, p. 218-235, JUL 5 2016.
Web of Science Citations: 1
Abstract

We consider a hyperbolic ergodic measure of a C-1 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. (C) 2016 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 15/09133-9 - Lyapunov exponents and irregular sets for unimodal dynamics
Grantee:Edson Vargas
Support Opportunities: Research Grants - Visiting Researcher Grant - International