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Centers and limit cycles of vector fields defined on invariant spheres

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dc.contributor.authorBuzzi, Claudio A
dc.contributor.authorRodero, Ana Livia
dc.contributor.authorTorregrosa, Joan
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2022-02-14T19:15:33Z
dc.date.available2022-02-14T19:15:33Z
dc.date.issued2021-09-25
dc.descriptionThis 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.pt
dc.description.abstractThe 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.pt
dc.description.affiliationUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas
dc.description.affiliationDepartament de Matemàtiques, Universitat Autònoma de Barcelona
dc.description.affiliationCentre de Recerca Matemàtica
dc.description.sponsorshipOutra
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdFAPESP 2017/08779-8, 2019/00440-7 e 2019/10269-3
dc.description.sponsorshipIdCAPES – 001
dc.description.sponsorshipIdCNPq 304798/2019- 3
dc.description.sponsorshipIdCatalonia AGAUR 2017 SGR 1617
dc.description.sponsorshipIdSpanish Ministerio de Ciencia, Innovacioón y Universidades - Agencia Estatal de Investigación PID2019-104658GB-I00
dc.description.sponsorshipIdEuropean Community H2020-MSCA-RISE-2017-777911
dc.identifier.citationJournal of Nonlinear Science volume 31, Article number: 92 (2021)pt
dc.identifier.issn0938-8974
dc.identifier.issn1432-1467
dc.identifier.lattes6682867760717445
dc.identifier.lattes300952250978484
dc.identifier.orcid0000-0003-2037-8417
dc.identifier.orcid0000-0002-6595-1881
dc.identifier.orcid0000-0002-2753-1827
dc.identifier.urihttp://hdl.handle.net/11449/216584
dc.language.isoeng
dc.publisherSpringer
dc.relationhttps://doi.org/10.1007/s00332-021-09751-zpt
dc.relation.ispartofJournal of Nonlinear Sciencept
dc.rights.accessRightsAcesso aberto
dc.subjectVector fields on invariant spherespt
dc.subjectIntegrabilitypt
dc.subjectCenter-focus problempt
dc.subjectLocal cyclicitypt
dc.titleCenters and limit cycles of vector fields defined on invariant spherespt
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas