Please use this identifier to cite or link to this item:
https://hdl.handle.net/1822/64191| Title: | Hyperbolicity through stable shadowing for generic geodesic flows |
| Author(s): | Bessa, Mário Dias, João Lopes Torres, M. J. |
| Keywords: | Geodesic flow Hyperbolic sets Shadowing Specification |
| Issue date: | 2020 |
| Publisher: | Elsevier |
| Journal: | Physica D: Nonlinear Phenomena |
| Abstract(s): | We prove that the closure of the closed orbits of a generic geodesic flow on a closed Riemannian n >= 2 dimensional manifold is a uniformly hyperbolic set if the shadowing property holds C2-robustly on the metric. We obtain analogous results using weak specification and the shadowing property allowing bounded time reparametrization. |
| Type: | Article |
| URI: | https://hdl.handle.net/1822/64191 |
| DOI: | 10.1016/j.physd.2020.132423 |
| ISSN: | 0167-2789 |
| e-ISSN: | 1872-8022 |
| Publisher version: | https://www.sciencedirect.com/science/article/abs/pii/S0167278918305967?via%3Dihub |
| Peer-Reviewed: | yes |
| Access: | Open access |
| Appears in Collections: |
