50 anos da UNESP
Logo do repositório

Cyclicity of rigid centres on centre manifolds of three-dimensional systems

Página do item simplificado
dc.contributor.authorPessoa, Claudio [UNESP]
dc.contributor.authorQueiroz, Lucas [UNESP]
dc.contributor.authorRibeiro, Jarne D.
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionInst Fed Educ Ciencia & Tecnol Minas Gerais IFSULD
dc.date.accessioned2023-07-29T11:49:04Z
dc.date.available2023-07-29T11:49:04Z
dc.date.issued2023-02-09
dc.description.abstractWe work with polynomial three-dimensional rigid differential systems. Using the Lyapunov constants, we obtain lower bounds for the cyclicity of the known rigid centres on their centre manifolds. Moreover, we obtain an example of a quadratic rigid centre from which is possible to bifurcate 13 limit cycles, which is a new lower bound for three-dimensional quadratic systems.en
dc.description.affiliationUniv Estadual Paulista UNESP, Inst Biociencias Letras & Ciencias Exatas, R Cristovao Colombo 2265, BR-15054000 Campinas, Brazil
dc.description.affiliationInst Fed Educ Ciencia & Tecnol Minas Gerais IFSULD, R Mario Ribola 409,Penha 2, BR-37903358 Passos, MG, Brazil
dc.description.affiliationUnespUniv Estadual Paulista UNESP, Inst Biociencias Letras & Ciencias Exatas, R Cristovao Colombo 2265, BR-15054000 Campinas, Brazil
dc.description.sponsorshipFunda��o de Amparo � Pesquisa do Estado de S�o Paulo (FAPESP)
dc.description.sponsorshipInstituto Federal de Educacao, Ciencia e Tecnologia do Sul de Minas Gerais - IFSULDEMINAS
dc.description.sponsorshipIdFAPESP: 19/13040-7
dc.format.extent13
dc.identifierhttp://dx.doi.org/10.1017/prm.2023.2
dc.identifier.citationProceedings of the Royal Society of Edinburgh Section A-mathematics. Cambridge: Cambridge Univ Press, 13 p., 2023.
dc.identifier.doi10.1017/prm.2023.2
dc.identifier.issn0308-2105
dc.identifier.urihttp://hdl.handle.net/11449/245231
dc.identifier.wosWOS:000940495100001
dc.language.isoeng
dc.publisherCambridge Univ Press
dc.relation.ispartofProceedings Of The Royal Society Of Edinburgh Section A-mathematics
dc.sourceWeb of Science
dc.subjectLimit cycles
dc.subjectrigid centres
dc.subjectHopf singularities
dc.subjectcentre manifolds
dc.subjectthree-dimensional systems
dc.subjectLyapunov constants
dc.titleCyclicity of rigid centres on centre manifolds of three-dimensional systemsen
dc.typeArtigopt
dcterms.licensehttp://journals.cambridge.org/action/displaySpecialPage?pageId=4676
dcterms.rightsHolderCambridge Univ Press
dspace.entity.typePublication
unesp.author.orcid0000-0001-6790-1055[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt

Arquivos

Coleções

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