Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/64191

TitleHyperbolicity through stable shadowing for generic geodesic flows
Author(s)Bessa, Mário
Dias, João Lopes
Torres, M. J.
KeywordsGeodesic flow
Hyperbolic sets
Shadowing
Specification
Issue date2020
PublisherElsevier
JournalPhysica 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.
TypeArticle
URIhttps://hdl.handle.net/1822/64191
DOI10.1016/j.physd.2020.132423
ISSN0167-2789
e-ISSN1872-8022
Publisher versionhttps://www.sciencedirect.com/science/article/abs/pii/S0167278918305967?via%3Dihub
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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