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On shadowing and hyperbolicity for geodesic flows on surfaces

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dc.contributor.authorBessa, Mário
dc.contributor.authorDias, João Lopes
dc.contributor.authorTorres, Maria Joana
dc.date.accessioned2023-05-26T10:44:53Z
dc.date.available2023-05-26T10:44:53Z
dc.date.issued2017
dc.description.abstractWe 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.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationM. Bessa, J. L. Dias, M. J. Torres, On shadowing and hyperbolicity for geodesic flows on surfaces, Nonlinear Analysis, 155, 250-263, 2017pt_PT
dc.identifier.doi10.1016/j.na.2017.02.006pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/13863
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationCenter of Mathematics and Applications of University of Beira Interior
dc.relationCEMAPRE - Centre for Applied Mathematics and Economics
dc.relationCentre of Mathematics of the University of Minho
dc.subjectGeodesic flowpt_PT
dc.subjectHyperbolic setspt_PT
dc.subjectShadowingpt_PT
dc.subjectSpecificationpt_PT
dc.titleOn shadowing and hyperbolicity for geodesic flows on surfacespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter of Mathematics and Applications of University of Beira Interior
oaire.awardTitleCEMAPRE - Centre for Applied Mathematics and Economics
oaire.awardTitleCentre of Mathematics of the University of Minho
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00212%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F00491%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00013%2F2013/PT
oaire.citation.endPage263pt_PT
oaire.citation.startPage250pt_PT
oaire.citation.titleNonlinear Analysispt_PT
oaire.citation.volume155pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
person.familyNameBessa
person.familyNameLopes Dias
person.familyNameda Costa Cruz de Oliveira Torres
person.givenNameMário
person.givenNameJoão
person.givenNameMaria Joana
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.ciencia-idA01A-369C-B7B3
person.identifier.ciencia-id4612-CB41-300A
person.identifier.orcid0000-0002-1758-2225
person.identifier.orcid0000-0002-2089-7308
person.identifier.orcid0000-0002-3673-5776
project.funder.identifierhttp://doi.org/10.13039/501100001871
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project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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