Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/47701

TitleOn shadowing and hyperbolicity for geodesic flows on surfaces
Author(s)Bessa, Mário
Dias, João Lopes
Torres, M. J.
Keywordsgeodesic flow
hyperbolic sets
shadowing
specification
Issue date2017
PublisherElsevier
JournalNonlinear Analysis
Abstract(s)We prove that the geodesic flow on closed surfaces displays a hyperbolic set if the shadowing property holds C2-robustly on the metric. Similar results are obtained when considering even feeble properties like the weak shadowing and the specification properties. Despite the Hamiltonian nature of the geodesic flow, the arguments in the present paper differ completely from those used in Bessa et al. (2013) for Hamiltonian systems.
TypeArticle
URIhttps://hdl.handle.net/1822/47701
DOI10.1016/j.na.2017.02.006
ISSN0362-546X
Publisher versionhttp://www.sciencedirect.com/science/article/pii/S0362546X17300421
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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