Centers and limit cycles of vector fields defined on invariant spheres

Detalhes bibliográficos
Autor(a) principal: Buzzi, Claudio A
Data de Publicação: 2021
Outros Autores: Rodero, Ana Livia, Torregrosa, Joan
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/216584
Resumo: This version of the article has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00332-021-09751-z.
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spelling Centers and limit cycles of vector fields defined on invariant spheresVector fields on invariant spheresIntegrabilityCenter-focus problemLocal cyclicityThis version of the article has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00332-021-09751-z.The aim of this paper is the study of the center-focus and cyclicity problems inside the class X of 3-dimensional vector fields that admit a first integral that leaves invariant any sphere centered at the origin. We classify the centers of linear, quadratic homogeneous and a family of quadratic vector fields F ⊂ X, restricted to one of these spheres. Moreover, we show the existence of at least 4 limit cycles in family F.OutraConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Universidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências ExatasDepartament de Matemàtiques, Universitat Autònoma de BarcelonaCentre de Recerca MatemàticaFAPESP 2017/08779-8, 2019/00440-7 e 2019/10269-3CAPES – 001CNPq 304798/2019- 3Catalonia AGAUR 2017 SGR 1617Spanish Ministerio de Ciencia, Innovacioón y Universidades - Agencia Estatal de Investigación PID2019-104658GB-I00European Community H2020-MSCA-RISE-2017-777911SpringerUniversidade Estadual Paulista (Unesp)Buzzi, Claudio ARodero, Ana LiviaTorregrosa, Joan2022-02-14T19:15:33Z2022-02-14T19:15:33Z2021-09-25info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfJournal of Nonlinear Science volume 31, Article number: 92 (2021)0938-89741432-1467http://hdl.handle.net/11449/21658466828677607174453009522509784840000-0003-2037-84170000-0002-6595-18810000-0002-2753-1827enghttps://doi.org/10.1007/s00332-021-09751-zJournal of Nonlinear Scienceinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESP2023-11-08T06:09:52Zoai:repositorio.unesp.br:11449/216584Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:08:55.534880Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Centers and limit cycles of vector fields defined on invariant spheres
title Centers and limit cycles of vector fields defined on invariant spheres
spellingShingle Centers and limit cycles of vector fields defined on invariant spheres
Buzzi, Claudio A
Vector fields on invariant spheres
Integrability
Center-focus problem
Local cyclicity
title_short Centers and limit cycles of vector fields defined on invariant spheres
title_full Centers and limit cycles of vector fields defined on invariant spheres
title_fullStr Centers and limit cycles of vector fields defined on invariant spheres
title_full_unstemmed Centers and limit cycles of vector fields defined on invariant spheres
title_sort Centers and limit cycles of vector fields defined on invariant spheres
author Buzzi, Claudio A
author_facet Buzzi, Claudio A
Rodero, Ana Livia
Torregrosa, Joan
author_role author
author2 Rodero, Ana Livia
Torregrosa, Joan
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Buzzi, Claudio A
Rodero, Ana Livia
Torregrosa, Joan
dc.subject.por.fl_str_mv Vector fields on invariant spheres
Integrability
Center-focus problem
Local cyclicity
topic Vector fields on invariant spheres
Integrability
Center-focus problem
Local cyclicity
description This version of the article has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00332-021-09751-z.
publishDate 2021
dc.date.none.fl_str_mv 2021-09-25
2022-02-14T19:15:33Z
2022-02-14T19:15:33Z
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 Journal of Nonlinear Science volume 31, Article number: 92 (2021)
0938-8974
1432-1467
http://hdl.handle.net/11449/216584
6682867760717445
300952250978484
0000-0003-2037-8417
0000-0002-6595-1881
0000-0002-2753-1827
identifier_str_mv Journal of Nonlinear Science volume 31, Article number: 92 (2021)
0938-8974
1432-1467
6682867760717445
300952250978484
0000-0003-2037-8417
0000-0002-6595-1881
0000-0002-2753-1827
url http://hdl.handle.net/11449/216584
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.1007/s00332-021-09751-z
Journal of Nonlinear Science
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.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv 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
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