Publication
Hamiltonian elliptic dynamics on symplectic $4$-manifolds
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Lopes Dias, João | |
| dc.date.accessioned | 2023-05-31T12:15:41Z | |
| dc.date.available | 2023-05-31T12:15:41Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | We consider C2-Hamiltonian functions on compact 4-dimensional symplectic manifolds to study the elliptic dynamics of the Hamiltonian flow, namely the so-called Newhouse dichotomy. We show that for any open set U intersecting a far from Anosov regular energy surface, there is a nearby Hamiltonian having an elliptic closed orbit through U. Moreover, this implies that, for far from Anosov regular energy surfaces of a C2-generic Hamiltonian, the elliptic closed orbits are generic. | pt_PT |
| dc.description.sponsorship | We would like to thank Pedro Duarte for his useful suggestions. The first author was supported by Fundação para a Ciência e a Tecnologia, SFRH/BPD/20890/2004. The second author 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 | M. Bessa, J. L. Dias, Hamiltonian elliptic dynamics on symplectic $4$-manifolds, Proceedings of the American Mathematical Society, 137, 2, 585-592, 2009 | pt_PT |
| dc.identifier.doi | 10.1090/S0002-9939-08-09578-6 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13931 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | AMS - American Mathematical Society | pt_PT |
| dc.relation | ABUNDÂNCIA DE EXPOENTES DE IYAPUNOV ZERO EM SISTEMAS CONSERVATIVOS A TEMPO CONTÍNUO | |
| dc.relation.publisherversion | https://www.ams.org/journals/proc/2009-137-02/S0002-9939-08-09578-6/S0002-9939-08-09578-6.pdf | pt_PT |
| dc.title | Hamiltonian elliptic dynamics on symplectic $4$-manifolds | 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 | 592 | pt_PT |
| oaire.citation.issue | 02 | pt_PT |
| oaire.citation.startPage | 585 | pt_PT |
| oaire.citation.title | Proceedings of the American Mathematical Society | pt_PT |
| oaire.citation.volume | 137 | 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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