Publication
On shadowing and hyperbolicity for geodesic flows on surfaces
dc.contributor.author | Bessa, Mário | |
dc.contributor.author | Dias, João Lopes | |
dc.contributor.author | Torres, Maria Joana | |
dc.date.accessioned | 2023-05-26T10:44:53Z | |
dc.date.available | 2023-05-26T10:44:53Z | |
dc.date.issued | 2017 | |
dc.description.abstract | 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. | pt_PT |
dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
dc.identifier.citation | M. Bessa, J. L. Dias, M. J. Torres, On shadowing and hyperbolicity for geodesic flows on surfaces, Nonlinear Analysis, 155, 250-263, 2017 | pt_PT |
dc.identifier.doi | 10.1016/j.na.2017.02.006 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10400.2/13863 | |
dc.language.iso | eng | pt_PT |
dc.peerreviewed | yes | pt_PT |
dc.publisher | Elsevier | pt_PT |
dc.relation | Center of Mathematics and Applications of University of Beira Interior | |
dc.relation | CEMAPRE - Centre for Applied Mathematics and Economics | |
dc.relation | Centre of Mathematics of the University of Minho | |
dc.subject | Geodesic flow | pt_PT |
dc.subject | Hyperbolic sets | pt_PT |
dc.subject | Shadowing | pt_PT |
dc.subject | Specification | pt_PT |
dc.title | On shadowing and hyperbolicity for geodesic flows on surfaces | pt_PT |
dc.type | journal article | |
dspace.entity.type | Publication | |
oaire.awardTitle | Center of Mathematics and Applications of University of Beira Interior | |
oaire.awardTitle | CEMAPRE - Centre for Applied Mathematics and Economics | |
oaire.awardTitle | Centre of Mathematics of the University of Minho | |
oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00212%2F2013/PT | |
oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F00491%2F2013/PT | |
oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00013%2F2013/PT | |
oaire.citation.endPage | 263 | pt_PT |
oaire.citation.startPage | 250 | pt_PT |
oaire.citation.title | Nonlinear Analysis | pt_PT |
oaire.citation.volume | 155 | pt_PT |
oaire.fundingStream | 6817 - DCRRNI ID | |
oaire.fundingStream | 6817 - DCRRNI ID | |
oaire.fundingStream | 6817 - DCRRNI ID | |
person.familyName | Bessa | |
person.familyName | Lopes Dias | |
person.familyName | da Costa Cruz de Oliveira Torres | |
person.givenName | Mário | |
person.givenName | João | |
person.givenName | Maria Joana | |
person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
person.identifier.ciencia-id | C21A-EEC0-A3EF | |
person.identifier.ciencia-id | A01A-369C-B7B3 | |
person.identifier.ciencia-id | 4612-CB41-300A | |
person.identifier.orcid | 0000-0002-1758-2225 | |
person.identifier.orcid | 0000-0002-2089-7308 | |
person.identifier.orcid | 0000-0002-3673-5776 | |
project.funder.identifier | http://doi.org/10.13039/501100001871 | |
project.funder.identifier | http://doi.org/10.13039/501100001871 | |
project.funder.identifier | http://doi.org/10.13039/501100001871 | |
project.funder.name | Fundação para a Ciência e a Tecnologia | |
project.funder.name | Fundação para a Ciência e a Tecnologia | |
project.funder.name | Fundação para a Ciência e a Tecnologia | |
rcaap.rights | restrictedAccess | pt_PT |
rcaap.type | article | pt_PT |
relation.isAuthorOfPublication | 2dd300f3-9f00-49de-9333-78ec0511220e | |
relation.isAuthorOfPublication | dc04005b-3ba4-4f41-989e-e25dbb5e8ea7 | |
relation.isAuthorOfPublication | b2b301b8-4b6d-40b5-aaf1-b1ccc356d2cd | |
relation.isAuthorOfPublication.latestForDiscovery | b2b301b8-4b6d-40b5-aaf1-b1ccc356d2cd | |
relation.isProjectOfPublication | 3acb6818-ea04-40b6-a979-5a80a9419b10 | |
relation.isProjectOfPublication | ec91ce3d-1731-40cf-b8cb-259daf83fe80 | |
relation.isProjectOfPublication | 34059dde-cd7d-4d91-a3c5-2c8117d5b3d8 | |
relation.isProjectOfPublication.latestForDiscovery | 3acb6818-ea04-40b6-a979-5a80a9419b10 |