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Non-uniformly hyperbolic flows and shadowing.
- Source :
-
Journal of Differential Equations . Jul2016, Vol. 261 Issue 1, p218-235. 18p. - Publication Year :
- 2016
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 261
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 114624859
- Full Text :
- https://doi.org/10.1016/j.jde.2016.03.001