Publication
Expansiveness and hyperbolicity in convex billiards
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Dias, João Lopes | |
| dc.contributor.author | Torres, Maria Joana | |
| dc.date.accessioned | 2023-05-30T10:40:55Z | |
| dc.date.available | 2023-05-30T10:40:55Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We say that a convex planar billiard table B is C2-stably expansive on a fixed open subset U of the phase space if its billiard map f_B is expansive on the maximal invariant set Λ_{B,U}, and this property holds under C2-perturbations of the billiard table. In this note we prove for such billiards that the closure of the set of periodic points of f_B in Λ_{B,U} is uniformly hyperbolic. In addition, we show that this property also holds for a generic choice among billiards which are expansive. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Bessa, M., Dias, J.L. & Torres, M.J. Expansiveness and Hyperbolicity in Convex Billiards. Regul. Chaot. Dyn. 26, 756–762 (2021) | pt_PT |
| dc.identifier.doi | 10.1134/S1560354721060125 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13899 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer | pt_PT |
| dc.relation | Center of Mathematics of the University of Minho | |
| dc.relation | Center of Mathematics of the University of Minho | |
| dc.relation.publisherversion | https://link.springer.com/article/10.1134/S1560354721060125 | pt_PT |
| dc.subject | Convex planar billiards | pt_PT |
| dc.subject | Hyperbolic sets | pt_PT |
| dc.subject | Expansiveness | pt_PT |
| dc.title | Expansiveness and hyperbolicity in convex billiards | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center of Mathematics of the University of Minho | |
| oaire.awardTitle | Center of Mathematics of the University of Minho | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F29126%2F2017/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00013%2F2020/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00013%2F2020/PT | |
| oaire.citation.endPage | 762 | pt_PT |
| oaire.citation.issue | 6 | pt_PT |
| oaire.citation.startPage | 756 | pt_PT |
| oaire.citation.title | Regular and Chaotic Dynamics | pt_PT |
| oaire.citation.volume | 26 | pt_PT |
| oaire.fundingStream | 3599-PPCDT | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Bessa | |
| person.familyName | Lopes Dias | |
| person.familyName | da Costa Cruz de Oliveira Torres | |
| person.givenName | Mário | |
| person.givenName | João | |
| person.givenName | Maria Joana | |
| 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.ciencia-id | 4612-CB41-300A | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| person.identifier.orcid | 0000-0002-2089-7308 | |
| person.identifier.orcid | 0000-0002-3673-5776 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| 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 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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