Publication
Area-preserving diffeomorphisms from the C1-Standpoint
| dc.contributor.author | Bessa, Mário | |
| dc.date.accessioned | 2023-05-31T11:18:55Z | |
| dc.date.available | 2023-05-31T11:18:55Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | More than thirty years have passed since Newhouse (Am. J. Math. 99:1061–1087, 1977) published a dichotomy on C1 area-preserving diffeomorphisms. Here we revisit some central results on surface conservative C1-diffeomorphisms by presenting, in particular, a new proof of Newhouse’s theorem and also by proving some, although folklore, not yet proved results on this setting. We intend that this exposition can be used by a large audience as an introduction to the concept of dominated splitting and its relevance to the theory of C1-stability of area-preserving diffeomorphisms. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Bessa, M. (2011). Area-Preserving Diffeomorphisms from the C1-Standpoint. In: Peixoto, M., Pinto, A., Rand, D. (eds) Dynamics, Games and Science II. Springer Proceedings in Mathematics, vol 2. Springer, Berlin, Heidelberg | pt_PT |
| dc.identifier.doi | https://doi.org/10.1007/978-3-642-14788-3_15 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13925 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer, Berlin, Heidelberg | pt_PT |
| dc.relation | ABUNDÂNCIA DE EXPOENTES DE IYAPUNOV ZERO EM SISTEMAS CONSERVATIVOS A TEMPO CONTÍNUO | |
| dc.subject | Periodic orbit | pt_PT |
| dc.subject | Lyapunov exponent | pt_PT |
| dc.subject | Periodic point | pt_PT |
| dc.subject | Elliptic orbit | pt_PT |
| dc.subject | Homoclinic point | pt_PT |
| dc.title | Area-preserving diffeomorphisms from the C1-Standpoint | 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 | 212 | pt_PT |
| oaire.citation.startPage | 181 | pt_PT |
| oaire.fundingStream | FARH | |
| person.familyName | Bessa | |
| person.givenName | Mário | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | restrictedAccess | pt_PT |
| rcaap.type | article | pt_PT |
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