Multidimensional Rovella-like attractors

Detalhes bibliográficos
Autor(a) principal: Castro, A.
Data de Publicação: 2011
Outros Autores: Pinheiro, Vilton Jeovan Viana, Araújo, V., Pacifico, M. J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14585
Resumo: Texto completo: acesso restrito. p. 3163–3201
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spelling Castro, A.Pinheiro, Vilton Jeovan VianaAraújo, V.Pacifico, M. J.Castro, A.Pinheiro, Vilton Jeovan VianaAraújo, V.Pacifico, M. J.2014-02-13T15:05:10Z20110022-0396http://repositorio.ufba.br/ri/handle/ri/14585v. 251, n. 11Texto completo: acesso restrito. p. 3163–3201We present a multidimensional flow exhibiting a Rovella-like attractor: a transitive invariant set with a non-Lorenz-like singularity accumulated by regular orbits and a multidimensional non-uniformly expanding invariant direction. Moreover, this attractor has a physical measure with full support and persists along certain sub-manifolds of the space of vector fields. As in the 3-dimensional Rovella-like attractor, this example is not robust. As a sub-product of the construction we obtain a new class of multidimensional non-uniformly expanding endomorphisms without any uniformly expanding direction, which is interesting by itself. Our example is a suspension (with singularities) of this multidimensional endomorphism.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2014-02-13T15:05:10Z No. of bitstreams: 1 A.Castro.pdf: 571802 bytes, checksum: 3f3fac44328927a33f5e5bac46c5cc83 (MD5)Made available in DSpace on 2014-02-13T15:05:10Z (GMT). No. of bitstreams: 1 A.Castro.pdf: 571802 bytes, checksum: 3f3fac44328927a33f5e5bac46c5cc83 (MD5) Previous issue date: 2011http://dx.doi.org/10.1016/j.jde.2011.07.021reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBASingular flowPhysical measureDominated decompositionMultidimensional non-uniform expansionMultidimensional Rovella-like attractorsJournal of Differential Equationsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINALA.Castro.pdfA.Castro.pdfapplication/pdf571802https://repositorio.ufba.br/bitstream/ri/14585/1/A.Castro.pdf3f3fac44328927a33f5e5bac46c5cc83MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14585/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTA.Castro.pdf.txtA.Castro.pdf.txtExtracted texttext/plain123233https://repositorio.ufba.br/bitstream/ri/14585/3/A.Castro.pdf.txtcf722fbecd5d583e70b71717f791e29aMD53ri/145852022-07-05 14:03:12.715oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:12Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Multidimensional Rovella-like attractors
dc.title.alternative.pt_BR.fl_str_mv Journal of Differential Equations
title Multidimensional Rovella-like attractors
spellingShingle Multidimensional Rovella-like attractors
Castro, A.
Singular flow
Physical measure
Dominated decomposition
Multidimensional non-uniform expansion
title_short Multidimensional Rovella-like attractors
title_full Multidimensional Rovella-like attractors
title_fullStr Multidimensional Rovella-like attractors
title_full_unstemmed Multidimensional Rovella-like attractors
title_sort Multidimensional Rovella-like attractors
author Castro, A.
author_facet Castro, A.
Pinheiro, Vilton Jeovan Viana
Araújo, V.
Pacifico, M. J.
author_role author
author2 Pinheiro, Vilton Jeovan Viana
Araújo, V.
Pacifico, M. J.
author2_role author
author
author
dc.contributor.author.fl_str_mv Castro, A.
Pinheiro, Vilton Jeovan Viana
Araújo, V.
Pacifico, M. J.
Castro, A.
Pinheiro, Vilton Jeovan Viana
Araújo, V.
Pacifico, M. J.
dc.subject.por.fl_str_mv Singular flow
Physical measure
Dominated decomposition
Multidimensional non-uniform expansion
topic Singular flow
Physical measure
Dominated decomposition
Multidimensional non-uniform expansion
description Texto completo: acesso restrito. p. 3163–3201
publishDate 2011
dc.date.issued.fl_str_mv 2011
dc.date.accessioned.fl_str_mv 2014-02-13T15:05:10Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/14585
dc.identifier.issn.none.fl_str_mv 0022-0396
dc.identifier.number.pt_BR.fl_str_mv v. 251, n. 11
identifier_str_mv 0022-0396
v. 251, n. 11
url http://repositorio.ufba.br/ri/handle/ri/14585
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1016/j.jde.2011.07.021
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
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