Poincaré recurrence theorem for non-smooth vector fields
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s00033-017-0783-y http://hdl.handle.net/11449/169596 |
Resumo: | In this paper, some ergodic aspects of non-smooth vector fields are studied. More specifically, the concepts of recurrence and invariance of a measure by a flow are discussed, and two versions of the classical Poincaré Recurrence Theorem are presented. The results allow us to soften the hypothesis of the classical Poincaré Recurrence Theorem by admitting non-smooth multivalued flows. The methods used in order to prove the results involve elements from both measure theory and topology. |
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Repositório Institucional da UNESP |
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2946 |
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Poincaré recurrence theorem for non-smooth vector fieldsInvariant measureNon-smooth vector fieldsPoincaré Recurrence TheoremIn this paper, some ergodic aspects of non-smooth vector fields are studied. More specifically, the concepts of recurrence and invariance of a measure by a flow are discussed, and two versions of the classical Poincaré Recurrence Theorem are presented. The results allow us to soften the hypothesis of the classical Poincaré Recurrence Theorem by admitting non-smooth multivalued flows. The methods used in order to prove the results involve elements from both measure theory and topology.Fundação de Amparo à Pesquisa do Estado de GoiásFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)IMECC–UNICAMP CEPIBILCE–UNESP CEPIBILCE–UNESP CEPFundação de Amparo à Pesquisa do Estado de Goiás: 2012 10 26 7000 803FAPESP: 2013/24541-0FAPESP: 2013/25828-1CAPES: 88881.068462/2014-01Universidade Estadual de Campinas (UNICAMP)Universidade Estadual Paulista (Unesp)Euzébio, Rodrigo D.Gouveia, Márcio R. A. [UNESP]2018-12-11T16:46:46Z2018-12-11T16:46:46Z2017-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/s00033-017-0783-yZeitschrift fur Angewandte Mathematik und Physik, v. 68, n. 2, 2017.0044-2275http://hdl.handle.net/11449/16959610.1007/s00033-017-0783-y2-s2.0-850165993362-s2.0-85016599336.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengZeitschrift fur Angewandte Mathematik und Physik0,828info:eu-repo/semantics/openAccess2023-12-08T06:18:30Zoai:repositorio.unesp.br:11449/169596Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:45:35.437779Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Poincaré recurrence theorem for non-smooth vector fields |
title |
Poincaré recurrence theorem for non-smooth vector fields |
spellingShingle |
Poincaré recurrence theorem for non-smooth vector fields Euzébio, Rodrigo D. Invariant measure Non-smooth vector fields Poincaré Recurrence Theorem |
title_short |
Poincaré recurrence theorem for non-smooth vector fields |
title_full |
Poincaré recurrence theorem for non-smooth vector fields |
title_fullStr |
Poincaré recurrence theorem for non-smooth vector fields |
title_full_unstemmed |
Poincaré recurrence theorem for non-smooth vector fields |
title_sort |
Poincaré recurrence theorem for non-smooth vector fields |
author |
Euzébio, Rodrigo D. |
author_facet |
Euzébio, Rodrigo D. Gouveia, Márcio R. A. [UNESP] |
author_role |
author |
author2 |
Gouveia, Márcio R. A. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual de Campinas (UNICAMP) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Euzébio, Rodrigo D. Gouveia, Márcio R. A. [UNESP] |
dc.subject.por.fl_str_mv |
Invariant measure Non-smooth vector fields Poincaré Recurrence Theorem |
topic |
Invariant measure Non-smooth vector fields Poincaré Recurrence Theorem |
description |
In this paper, some ergodic aspects of non-smooth vector fields are studied. More specifically, the concepts of recurrence and invariance of a measure by a flow are discussed, and two versions of the classical Poincaré Recurrence Theorem are presented. The results allow us to soften the hypothesis of the classical Poincaré Recurrence Theorem by admitting non-smooth multivalued flows. The methods used in order to prove the results involve elements from both measure theory and topology. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-04-01 2018-12-11T16:46:46Z 2018-12-11T16:46:46Z |
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://dx.doi.org/10.1007/s00033-017-0783-y Zeitschrift fur Angewandte Mathematik und Physik, v. 68, n. 2, 2017. 0044-2275 http://hdl.handle.net/11449/169596 10.1007/s00033-017-0783-y 2-s2.0-85016599336 2-s2.0-85016599336.pdf |
url |
http://dx.doi.org/10.1007/s00033-017-0783-y http://hdl.handle.net/11449/169596 |
identifier_str_mv |
Zeitschrift fur Angewandte Mathematik und Physik, v. 68, n. 2, 2017. 0044-2275 10.1007/s00033-017-0783-y 2-s2.0-85016599336 2-s2.0-85016599336.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Zeitschrift fur Angewandte Mathematik und Physik 0,828 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129114396164096 |