Publication
On the periodic orbits, shadowing and strong transitivity of continuous flows
| dc.contributor.author | Bessa, Mario | |
| dc.contributor.author | Torres, Maria Joana | |
| dc.contributor.author | Varandas, Paulo | |
| dc.date.accessioned | 2020-02-04T17:27:46Z | |
| dc.date.available | 2020-02-04T17:27:46Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | We prove that chaotic flows (i.e. flows that satisfy the shadowing property and have a dense subset of periodic orbits) satisfy a reparametrized gluing orbit property similar to the one introduced in Bomfim and Varandas (2015). In particular, these are strongly transitive in balls of uniform radius. We also prove that the shadowing property for a flow and a generic time-t map, and having a dense subset of periodic orbits hold for a C0-Baire generic subset of Lipschitz vector fields, that generate continuous flows. Similar results also hold for C0-generic homeomorphisms and, in particular, we deduce that chain recurrent classes of C0-generic homeomorphisms have the gluing orbit property. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | https://doi.org/10.1016/j.na.2018.06.002 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/9018 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.subject | Gluing orbit property | pt_PT |
| dc.subject | Shadowing | pt_PT |
| dc.subject | Periodic orbits | pt_PT |
| dc.title | On the periodic orbits, shadowing and strong transitivity of continuous flows | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00212%2F2013/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00013%2F2013/PT | |
| oaire.citation.endPage | 209 | pt_PT |
| oaire.citation.startPage | 191 | pt_PT |
| oaire.citation.title | Nonlinear Analysis: Theory, Methods and Applications | pt_PT |
| oaire.citation.volume | 175 | pt_PT |
| oaire.fundingStream | 5876 | |
| oaire.fundingStream | 5876 | |
| person.familyName | Bessa | |
| person.familyName | Varandas | |
| person.givenName | Mário | |
| person.givenName | Paulo | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier | R-002-RFA | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.ciencia-id | 0C1A-DC54-F959 | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| person.identifier.orcid | 0000-0002-0902-8718 | |
| person.identifier.rid | I-7729-2013 | |
| person.identifier.scopus-author-id | 25626996500 | |
| 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.embargofct | Copyright cedido à editora no momento da publicação | pt_PT |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
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