Poincaré recurrence theorem for non-smooth vector fields

Detalhes bibliográficos
Autor(a) principal: Euzébio, Rodrigo D.
Data de Publicação: 2017
Outros Autores: Gouveia, Márcio R. A. [UNESP]
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.
id UNSP_7e14347a5443bd2192a7501b4f9d6b5c
oai_identifier_str oai:repositorio.unesp.br:11449/169596
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling 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

Registros relacionados