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On C1-generic chaotic systems in three-manifolds

dc.contributor.authorBessa, Mário
dc.date.accessioned2023-05-30T10:57:49Z
dc.date.available2023-05-30T10:57:49Z
dc.date.issued2013
dc.description.abstractLet M be a closed 3-dimensional Riemannian manifold. We exhibit a C1-residual subset of the set of volume-preserving 3-dimensional flows defined on very general manifolds M such that, any flow in this residual has zero metric entropy, has zero Lyapunov exponents and, nevertheless, is strongly chaotic in Devaney’s sense. Moreover, we also prove a corresponding version for the discrete-time case.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBessa, M. On C1-Generic Chaotic Systems in Three-Manifolds. Qual. Theory Dyn. Syst. 12, 323–334 (2013)pt_PT
dc.identifier.doi10.1007/s12346-012-0091-zpt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/13901
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationNonuniformly Hyperbolic Dynamics
dc.relationStrategic Project - UI 212 - 2011-2012
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s12346-012-0091-zpt_PT
dc.titleOn C1-generic chaotic systems in three-manifoldspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleNonuniformly Hyperbolic Dynamics
oaire.awardTitleStrategic Project - UI 212 - 2011-2012
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876-PPCDTI/PTDC%2FMAT%2F099493%2F2008/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2011/PT
oaire.citation.endPage334pt_PT
oaire.citation.issue2pt_PT
oaire.citation.startPage323pt_PT
oaire.citation.titleQualitative Theory of Dynamical Systemspt_PT
oaire.citation.volume12pt_PT
oaire.fundingStream5876-PPCDTI
oaire.fundingStream6817 - DCRRNI ID
person.familyNameBessa
person.givenNameMário
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.orcid0000-0002-1758-2225
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication2dd300f3-9f00-49de-9333-78ec0511220e
relation.isAuthorOfPublication.latestForDiscovery2dd300f3-9f00-49de-9333-78ec0511220e
relation.isProjectOfPublication47d5a744-5420-43a8-93ac-40301046b992
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