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Hausdorff dimension for non-hyperbolic repellers II: Da diffeomorphisms

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dc.contributor.authorHorita, Vanderlei [UNESP]
dc.contributor.authorViana, Marcelo
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionIMPA
dc.date.accessioned2014-05-27T11:21:40Z
dc.date.available2014-05-27T11:21:40Z
dc.date.issued2005-12-01
dc.description.abstractWe study non-hyperbolic repellers of diffeomorphisms derived from transitive Anosov diffeomorphisms with unstable dimension 2 through a Hopf bifurcation. Using some recent abstract results about non-uniformly expanding maps with holes, by ourselves and by Dysman, we show that the Hausdorff dimension and the limit capacity (box dimension) of the repeller are strictly less than the dimension of the ambient manifold.en
dc.description.affiliationDepartamento de Matemática IBILCE/UNESP, Rua Cristovao Colombo, 2265, 15055-S. J. Rio Preto, SP
dc.description.affiliationIMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, RJ
dc.description.affiliationUnespDepartamento de Matemática IBILCE/UNESP, Rua Cristovao Colombo, 2265, 15055-S. J. Rio Preto, SP
dc.format.extent1125-1152
dc.identifierhttp://aimsciences.org/journals/pdfs.jsp?paperID=1107&mode=abstract
dc.identifierhttp://dx.doi.org/10.3934/dcds.2005.13.1125
dc.identifier.citationDiscrete and Continuous Dynamical Systems, v. 13, n. 5, p. 1125-1152, 2005.
dc.identifier.doi10.3934/dcds.2005.13.1125
dc.identifier.file2-s2.0-28444472020.pdf
dc.identifier.issn1078-0947
dc.identifier.orcid0000-0002-9304-0655
dc.identifier.scopus2-s2.0-28444472020
dc.identifier.urihttp://hdl.handle.net/11449/68499
dc.identifier.wosWOS:000230532200002
dc.language.isoeng
dc.relation.ispartofDiscrete and Continuous Dynamical Systems
dc.relation.ispartofjcr0.976
dc.relation.ispartofsjr1,592
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectDimension theory
dc.subjectNon-uniform hyperbolicity
dc.subjectRepeller
dc.titleHausdorff dimension for non-hyperbolic repellers II: Da diffeomorphismsen
dc.typeArtigo
dcterms.licensehttp://aimsciences.org/journals/tex-sample/CopyRightAgreement.pdf
dspace.entity.typePublication
unesp.author.orcid0000-0002-9304-0655[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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