Publication
A dichotomy in area-preserving reversible maps
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Rodrigues, Alexandre A. P. | |
| dc.date.accessioned | 2023-05-30T08:58:03Z | |
| dc.date.available | 2023-05-30T08:58:03Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | In this paper we study R-reversible area-preserving maps f : M → M on a two-dimensional Riemannian closed manifold M, i.e. diffeomorphisms f such that R ◦ f = f−1 ◦ R where R: M → M is an isometric involution. We obtain a C1-residual subset where any map inside it is Anosov or else has a dense set of elliptic periodic orbits, thus establishing the stability conjecture in this setting. Along the paper we derive the C1-Closing Lemma for reversible maps and other perturbation toolboxes. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Bessa, M., Rodrigues, A.A.P. A Dichotomy in Area-Preserving Reversible Maps. Qual. Theory Dyn. Syst. 15, 309–326 (2016). | pt_PT |
| dc.identifier.doi | 10.1007/s12346-015-0155-y | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13895 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer | pt_PT |
| dc.relation | 2013 - Strategic Project | |
| dc.relation | BIFURCAÇÕES GENÉRICAS DE EQUAÇÕES DIFERENCIAIS ORDINÁRIAS | |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s12346-015-0155-y#citeas | pt_PT |
| dc.subject | Reversing symmetry | pt_PT |
| dc.subject | Area-preserving map | pt_PT |
| dc.subject | Closing Lemma | pt_PT |
| dc.subject | Elliptic point | pt_PT |
| dc.title | A dichotomy in area-preserving reversible maps | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | 2013 - Strategic Project | |
| oaire.awardTitle | BIFURCAÇÕES GENÉRICAS DE EQUAÇÕES DIFERENCIAIS ORDINÁRIAS | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6820 - DCRRNI ID/PEst-C%2FMAT%2FUI0144%2F2013/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT//SFRH%2FBPD%2F84709%2F2012/PT | |
| oaire.citation.endPage | 326 | pt_PT |
| oaire.citation.issue | 2 | pt_PT |
| oaire.citation.startPage | 309 | pt_PT |
| oaire.citation.title | Qualitative Theory of Dynamical Systems | pt_PT |
| oaire.citation.volume | 15 | pt_PT |
| oaire.fundingStream | 6820 - DCRRNI ID | |
| person.familyName | Bessa | |
| person.familyName | Rodrigues | |
| person.givenName | Mário | |
| person.givenName | Alexandre | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.ciencia-id | 7C15-AD8C-4AA7 | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| person.identifier.orcid | 0000-0001-8182-9889 | |
| 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 | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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