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Stable weakly shadowable volume-preserving systems are volume-hyperbolic

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dc.contributor.authorBessa, Mário
dc.contributor.authorLee, Manseob
dc.contributor.authorVaz, Sandra
dc.date.accessioned2023-05-30T10:46:59Z
dc.date.available2023-05-30T10:46:59Z
dc.date.issued2014
dc.description.abstractWe prove that any C^1-stable weakly shadowable volume-preserving diffeomorphism defined on a compact manifold displays a dominated splitting E ⊕ F . Moreover, both E and F are volume-hyperbolic. Finally, we prove the version of this result for divergence-free vector fields. As a consequence, in low dimensions, we obtain global hyperbolicity.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBessa, M., Lee, M. & Vaz, S. Stable weakly shadowable volume-preserving systems are volume-hyperbolic. Acta. Math. Sin.-English Ser. 30, 1007–1020 (2014)pt_PT
dc.identifier.doi10.1007/s10114-014-3093-8pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/13900
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationStrategic Project - UI 212 - 2011-2012
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s10114-014-3093-8pt_PT
dc.subjectWeak shadowingpt_PT
dc.subjectDominated splittingpt_PT
dc.subjectHyperbolicitypt_PT
dc.titleStable weakly shadowable volume-preserving systems are volume-hyperbolicpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleStrategic Project - UI 212 - 2011-2012
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2011/PT
oaire.citation.endPage1020pt_PT
oaire.citation.issue6pt_PT
oaire.citation.startPage1007pt_PT
oaire.citation.titleActa Mathematica Sinica, English Seriespt_PT
oaire.citation.volume30pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameBessa
person.familyNameLee
person.familyNameVaz
person.givenNameMário
person.givenNameManseob
person.givenNameSandra
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.ciencia-id2D10-D257-281D
person.identifier.orcid0000-0002-1758-2225
person.identifier.orcid0000-0001-9701-6508
person.identifier.orcid0000-0002-1507-2272
person.identifier.scopus-author-id35731951700
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication2dd300f3-9f00-49de-9333-78ec0511220e
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