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Centers and Limit Cycles of Vector Fields Defined on Invariant Spheres

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dc.contributor.authorBuzzi, Claudio A. [UNESP]
dc.contributor.authorRodero, Ana Livia [UNESP]
dc.contributor.authorTorregrosa, Joan
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversitat Autònoma de Barcelona
dc.contributor.institutionCentre de Recerca Matemàtica
dc.date.accessioned2022-04-28T19:44:54Z
dc.date.available2022-04-28T19:44:54Z
dc.date.issued2021-12-01
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.en
dc.description.affiliationInstituto de Biociências Letras e Ciências Exatas Universidade Estadual Paulista (UNESP)
dc.description.affiliationDepartament de Matemàtiques Universitat Autònoma de Barcelona
dc.description.affiliationCentre de Recerca Matemàtica, Campus de Bellaterra
dc.description.affiliationUnespInstituto de Biociências Letras e Ciências Exatas Universidade Estadual Paulista (UNESP)
dc.description.sponsorshipAgència de Gestió d'Ajuts Universitaris i de Recerca
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipH2020 European Research Council
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades
dc.description.sponsorshipIdAgència de Gestió d'Ajuts Universitaris i de Recerca: 2017 SGR 1617
dc.description.sponsorshipIdFAPESP: 2017/08779-8
dc.description.sponsorshipIdFAPESP: 2019/00440- 7
dc.description.sponsorshipIdFAPESP: 2019/10269-3
dc.description.sponsorshipIdCNPq: CNPq 304798/2019- 3
dc.description.sponsorshipIdH2020 European Research Council: H2020-MSCA-RISE-2017- 777911
dc.description.sponsorshipIdMinisterio de Ciencia, Innovación y Universidades: PID2019-104658GB-I00
dc.identifierhttp://dx.doi.org/10.1007/s00332-021-09751-z
dc.identifier.citationJournal of Nonlinear Science, v. 31, n. 6, 2021.
dc.identifier.doi10.1007/s00332-021-09751-z
dc.identifier.issn1432-1467
dc.identifier.issn0938-8974
dc.identifier.scopus2-s2.0-85115725537
dc.identifier.urihttp://hdl.handle.net/11449/222485
dc.language.isoeng
dc.relation.ispartofJournal of Nonlinear Science
dc.sourceScopus
dc.subjectCenter-focus problem
dc.subjectIntegrability
dc.subjectLocal cyclicity
dc.subjectVector fields on invariant spheres
dc.titleCenters and Limit Cycles of Vector Fields Defined on Invariant Spheresen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0000-0003-2037-8417[1]
unesp.author.orcid0000-0002-6595-1881[2]
unesp.author.orcid0000-0002-2753-1827[3]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt

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