Multidimensional Rovella-like attractors
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , , |
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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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:ri/14585VGVybW8gZGUgTGljZW7vv71hLCBu77+9byBleGNsdXNpdm8sIHBhcmEgbyBkZXDvv71zaXRvIG5vIFJlcG9zaXTvv71yaW8gSW5zdGl0dWNpb25hbCBkYSBVRkJBLgoKIFBlbG8gcHJvY2Vzc28gZGUgc3VibWlzc++/vW8gZGUgZG9jdW1lbnRvcywgbyBhdXRvciBvdSBzZXUgcmVwcmVzZW50YW50ZSBsZWdhbCwgYW8gYWNlaXRhciAKZXNzZSB0ZXJtbyBkZSBsaWNlbu+/vWEsIGNvbmNlZGUgYW8gUmVwb3NpdO+/vXJpbyBJbnN0aXR1Y2lvbmFsIGRhIFVuaXZlcnNpZGFkZSBGZWRlcmFsIGRhIEJhaGlhIApvIGRpcmVpdG8gZGUgbWFudGVyIHVtYSBj77+9cGlhIGVtIHNldSByZXBvc2l077+9cmlvIGNvbSBhIGZpbmFsaWRhZGUsIHByaW1laXJhLCBkZSBwcmVzZXJ2Ye+/ve+/vW8uIApFc3NlcyB0ZXJtb3MsIG7vv71vIGV4Y2x1c2l2b3MsIG1hbnTvv71tIG9zIGRpcmVpdG9zIGRlIGF1dG9yL2NvcHlyaWdodCwgbWFzIGVudGVuZGUgbyBkb2N1bWVudG8gCmNvbW8gcGFydGUgZG8gYWNlcnZvIGludGVsZWN0dWFsIGRlc3NhIFVuaXZlcnNpZGFkZS4KCiBQYXJhIG9zIGRvY3VtZW50b3MgcHVibGljYWRvcyBjb20gcmVwYXNzZSBkZSBkaXJlaXRvcyBkZSBkaXN0cmlidWnvv73vv71vLCBlc3NlIHRlcm1vIGRlIGxpY2Vu77+9YSAKZW50ZW5kZSBxdWU6CgogTWFudGVuZG8gb3MgZGlyZWl0b3MgYXV0b3JhaXMsIHJlcGFzc2Fkb3MgYSB0ZXJjZWlyb3MsIGVtIGNhc28gZGUgcHVibGljYe+/ve+/vWVzLCBvIHJlcG9zaXTvv71yaW8KcG9kZSByZXN0cmluZ2lyIG8gYWNlc3NvIGFvIHRleHRvIGludGVncmFsLCBtYXMgbGliZXJhIGFzIGluZm9ybWHvv73vv71lcyBzb2JyZSBvIGRvY3VtZW50bwooTWV0YWRhZG9zIGVzY3JpdGl2b3MpLgoKIERlc3RhIGZvcm1hLCBhdGVuZGVuZG8gYW9zIGFuc2Vpb3MgZGVzc2EgdW5pdmVyc2lkYWRlIGVtIG1hbnRlciBzdWEgcHJvZHXvv73vv71vIGNpZW5077+9ZmljYSBjb20gCmFzIHJlc3Ryae+/ve+/vWVzIGltcG9zdGFzIHBlbG9zIGVkaXRvcmVzIGRlIHBlcmnvv71kaWNvcy4KCiBQYXJhIGFzIHB1YmxpY2Hvv73vv71lcyBzZW0gaW5pY2lhdGl2YXMgcXVlIHNlZ3VlbSBhIHBvbO+/vXRpY2EgZGUgQWNlc3NvIEFiZXJ0bywgb3MgZGVw77+9c2l0b3MgCmNvbXB1bHPvv71yaW9zIG5lc3NlIHJlcG9zaXTvv71yaW8gbWFudO+/vW0gb3MgZGlyZWl0b3MgYXV0b3JhaXMsIG1hcyBtYW5077+9bSBhY2Vzc28gaXJyZXN0cml0byAKYW8gbWV0YWRhZG9zIGUgdGV4dG8gY29tcGxldG8uIEFzc2ltLCBhIGFjZWl0Ye+/ve+/vW8gZGVzc2UgdGVybW8gbu+/vW8gbmVjZXNzaXRhIGRlIGNvbnNlbnRpbWVudG8KIHBvciBwYXJ0ZSBkZSBhdXRvcmVzL2RldGVudG9yZXMgZG9zIGRpcmVpdG9zLCBwb3IgZXN0YXJlbSBlbSBpbmljaWF0aXZhcyBkZSBhY2Vzc28gYWJlcnRvLgo=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 |
format |
article |
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 |
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openAccess |
dc.source.pt_BR.fl_str_mv |
http://dx.doi.org/10.1016/j.jde.2011.07.021 |
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