The Hopf bifurcation in the Shimizu-Morioka system

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dc.contributor.authorLlibre, Jaume
dc.contributor.authorPessoa, Claudio [UNESP]
dc.contributor.institutionUniv Autonoma Barcelona
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2015-10-21T13:14:32Z
dc.date.available2015-10-21T13:14:32Z
dc.date.issued2015-02-01
dc.description.abstractWe study the local Hopf bifurcations of codimension one and two, which occur in the Shimizu-Morioka system. This system is a simplified model proposed for studying the dynamics of the well-known Lorenz system for large Rayleigh numbers. We present an analytic study and their bifurcation diagrams of these kinds of Hopf bifurcation, showing the qualitative changes in the dynamics of its solutions for different values of the parameters.en
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.sponsorshipMINECO/FEDER MTM
dc.description.sponsorshipAGAUR
dc.description.sponsorshipICREA Academia
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.sponsorshipIdMINECO/FEDER MTM: 2008-03437
dc.description.sponsorshipIdAGAUR: 2014SGR 568
dc.description.sponsorshipIdCAPES: Process 8333/13-0
dc.description.sponsorshipIdFAPESP: 2011/13152-8
dc.description.sponsorshipId: FP7 PEOPLE-2012-IRSES: 316338
dc.description.sponsorshipIdFP7 PEOPLE-2012-IRSES: 318999
dc.format.extent2197-2205
dc.identifierhttp://link.springer.com/article/10.1007%2Fs11071-014-1805-3
dc.identifier.citationNonlinear Dynamics, v. 79, n. 3, p. 2197-2205, 2015.
dc.identifier.doi10.1007/s11071-014-1805-3
dc.identifier.issn0924-090X
dc.identifier.lattes3724937886557424
dc.identifier.orcid0000-0001-6790-1055
dc.identifier.urihttp://hdl.handle.net/11449/128854
dc.identifier.wosWOS:000349244900038
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofNonlinear Dynamics
dc.relation.ispartofjcr4.339
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectHopf bifurcationen
dc.subjectLimit cyclesen
dc.subjectBifurcation diagramen
dc.titleThe Hopf bifurcation in the Shimizu-Morioka systemen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.author.lattes3724937886557424[2]
unesp.author.orcid0000-0002-9511-5999[1]
unesp.author.orcid0000-0001-6790-1055[2]
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