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On shadowing and hyperbolicity for geodesic flows on surfaces

2017Journal article Restricted access
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dc.contributor.authorBessa, Mario
dc.contributor.authorDias, João Lopes
dc.contributor.authorTorres, Maria Joana
dc.date.accessioned2020-02-05T09:54:55Z
dc.date.available2020-02-05T09:54:55Z
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.doihttp://dx.doi.org/10.1016/j.na.2017.02.006pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9019
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
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.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00212%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMulti%2F00491%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00013%2F2013/PT
oaire.citation.endPage263pt_PT
oaire.citation.startPage250pt_PT
oaire.citation.titleNonlinear Analysis: Theory, Methods and Applicationspt_PT
oaire.citation.volume155pt_PT
oaire.fundingStream5876
oaire.fundingStream5876
oaire.fundingStream5876
person.familyNameBessa
person.familyNameLopes Dias
person.givenNameMário
person.givenNameJoão
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.orcid0000-0002-1758-2225
person.identifier.orcid0000-0002-2089-7308
person.identifier.ridA-5694-2013
person.identifier.scopus-author-id15753541000
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
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.embargofctCopyright cedido à editora no momento da publicaçãopt_PT
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
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