Publication
Generic area-preserving reversible diffeomorphisms
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Carvalho, Maria | |
| dc.contributor.author | Rodrigues, Alexandre A. P. | |
| dc.date.accessioned | 2023-05-29T14:11:22Z | |
| dc.date.available | 2023-05-29T14:11:22Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | Let M be a surface and R : M → M an area-preserving C∞ diffeomorphism which is an involution and whose set of fixed points is a submanifold with dimension one. We will prove that C1 -generically either an area-preserving R-reversible diffeomorphism, is Anosov, or, for μ-almost every x ∈ M, the Lyapunov exponents at x vanish or else the orbit of x belongs to a compact hyperbolic set with an empty interior. We will also describe a nonempty C1- open subset of area-preserving R-reversible diffeomorphisms where for C1-generically each map is either Anosov or its Lyapunov exponents vanish from almost everywhere. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | M. Bessa, M. Cavalho, A. Rodrigues, Generic area-preserving reversible diffeomorphisms, Nonlinearity, 28, 6, 1695-1720, 2015 | pt_PT |
| dc.identifier.doi | 10.1088/0951-7715/28/6/1695 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13877 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | IOP Science | pt_PT |
| dc.relation | Strategic Project - UI 212 - 2011-2012 | |
| dc.relation | BIFURCAÇÕES GENÉRICAS DE EQUAÇÕES DIFERENCIAIS ORDINÁRIAS | |
| dc.subject | Dominated splitting | pt_PT |
| dc.subject | Lyapunov exponent | pt_PT |
| dc.subject | Reversibility | pt_PT |
| dc.title | Generic area-preserving reversible diffeomorphisms | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Strategic Project - UI 212 - 2011-2012 | |
| oaire.awardTitle | BIFURCAÇÕES GENÉRICAS DE EQUAÇÕES DIFERENCIAIS ORDINÁRIAS | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2011/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT//SFRH%2FBPD%2F84709%2F2012/PT | |
| oaire.citation.endPage | 1720 | pt_PT |
| oaire.citation.issue | 6 | pt_PT |
| oaire.citation.startPage | 1695 | pt_PT |
| oaire.citation.title | Nonlinearity | pt_PT |
| oaire.citation.volume | 28 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Bessa | |
| person.familyName | Carvalho | |
| person.familyName | Rodrigues | |
| person.givenName | Mário | |
| person.givenName | Maria | |
| 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 | 361B-4DA8-0A98 | |
| person.identifier.ciencia-id | 7C15-AD8C-4AA7 | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| person.identifier.orcid | 0000-0001-6929-6442 | |
| 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 | restrictedAccess | pt_PT |
| rcaap.type | article | pt_PT |
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