Publication
Generic dynamics of 4-dimensional C 2 hamiltonian systems
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Dias, João Lopes | |
| dc.date.accessioned | 2023-05-24T11:16:50Z | |
| dc.date.available | 2023-05-24T11:16:50Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | We study the dynamical behaviour of Hamiltonian flows defined on 4-dimensional compact symplectic manifolds. We find the existence of a C 2-residual set of Hamiltonians for which there is an open mod 0 dense set of regular energy surfaces each either being Anosov or having zero Lyapunov exponents almost everywhere. This is in the spirit of the Bochi-Mañé dichotomy for area-preserving diffeomorphisms on compact surfaces [2] and its continuous-time version for 3-dimensional volume-preserving flows [1]. | pt_PT |
| dc.description.sponsorship | We would like to thank Gonzalo Contreras and the anonymous referee for useful comments. MB was supported by Fundação para a Ciência e a Tecnologia, SFRH/BPD/20890/2004. JLD was partially supported by Fundação para a Ciência e a Tecnologia through the Program FEDER/POCI 2010. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Bessa, M., Dias, J.L. Generic Dynamics of 4-Dimensional C 2 Hamiltonian Systems. Commun. Math. Phys. 281, 597–619 (2008) | pt_PT |
| dc.identifier.doi | 10.1007/s00220-008-0500-y | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13821 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer | pt_PT |
| dc.relation | ABUNDÂNCIA DE EXPOENTES DE IYAPUNOV ZERO EM SISTEMAS CONSERVATIVOS A TEMPO CONTÍNUO | |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00220-008-0500-y#citeas | pt_PT |
| dc.title | Generic dynamics of 4-dimensional C 2 hamiltonian systems | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | ABUNDÂNCIA DE EXPOENTES DE IYAPUNOV ZERO EM SISTEMAS CONSERVATIVOS A TEMPO CONTÍNUO | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/FARH/SFRH%2FBPD%2F20890%2F2004/PT | |
| oaire.citation.endPage | 619 | pt_PT |
| oaire.citation.issue | 3 | pt_PT |
| oaire.citation.startPage | 597 | pt_PT |
| oaire.citation.title | Communications in Mathematical Physics | pt_PT |
| oaire.citation.volume | 281 | pt_PT |
| oaire.fundingStream | FARH | |
| person.familyName | Bessa | |
| person.familyName | Lopes Dias | |
| person.givenName | Mário | |
| person.givenName | João | |
| 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.orcid | 0000-0002-1758-2225 | |
| person.identifier.orcid | 0000-0002-2089-7308 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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