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Hyperbolicity through stable shadowing for generic geodesic flows

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dc.contributor.authorBessa, Mário
dc.contributor.authorDias, João Lopes
dc.contributor.authorTorres, Maria Joana
dc.date.accessioned2023-05-26T11:40:24Z
dc.date.available2023-05-26T11:40:24Z
dc.date.issued2020
dc.description.abstractWe 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.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationM. Bessa, J. L. Dias, M. J. Torres, Hyperbolicity through stable shadowing for generic geodesic flows, Physica D: Nonlinear Phenomena, 406, 132423, 2020pt_PT
dc.identifier.doi10.1016/j.physd.2020.132423pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/13865
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.titleHyperbolicity through stable shadowing for generic geodesic flowspt_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/3599-PPCDT/PTDC%2FMAT-PUR%2F29126%2F2017/PT
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%2F2019/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00013%2F2013/PT
oaire.citation.startPage132423pt_PT
oaire.citation.titlePhysica D: Nonlinear Phenomenapt_PT
oaire.citation.volume406pt_PT
oaire.fundingStream3599-PPCDT
oaire.fundingStream6817 - DCRRNI ID
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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
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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