Stability of small-amplitude periodic solutions near Hopf bifurcations in time-delayed fully-connected PLL networks

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dc.contributor.authorFerruzzo Correa, Diego P.
dc.contributor.authorBueno, Atila M. [UNESP]
dc.contributor.authorCastilho Piqueira, Jose R.
dc.contributor.institutionUniversidade Federal do ABC (UFABC)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2018-11-28T00:18:32Z
dc.date.available2018-11-28T00:18:32Z
dc.date.issued2017-04-01
dc.description.abstractIn this paper we investigate stability conditions for small-amplitude periodic solutions emerging near symmetry-preserving Hopf bifurcations in a time-delayed fully-connected N-node PLL network. The study of this type of systems which includes the time delay between connections has attracted much attention among researchers mainly because the delayed coupling between nodes emerges almost naturally in mathematical modeling in many areas of science such as neurobiology, population dynamics, physiology and engineering. In a previous work it has been shown that symmetry breaking and symmetry preserving Hopf bifurcations can emerge in the parameter space. We analyze the stability along branches of periodic solutions near fully-synchronized Hopf bifurcations in the fixed-point space, based on the reduction of the infinite-dimensional space onto a twodimensional center manifold in normal form. Numerical results are also presented in order to confirm our analytical results. (C) 2016 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Fed ABC, Sao Bernardo, SP, Brazil
dc.description.affiliationUniv Estadual Paulista, Campus Expt Sorocaba, Sorocaba, SP, Brazil
dc.description.affiliationUniv Sao Paulo, Escola Politecn, Sao Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Campus Expt Sorocaba, Sorocaba, SP, Brazil
dc.description.sponsorshipEscola Politecnica da Universidade de Sao Paulo
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.format.extent66-74
dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2016.10.001
dc.identifier.citationCommunications In Nonlinear Science And Numerical Simulation. Amsterdam: Elsevier Science Bv, v. 45, p. 66-74, 2017.
dc.identifier.doi10.1016/j.cnsns.2016.10.001
dc.identifier.fileWOS000389174400006.pdf
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/11449/165394
dc.identifier.wosWOS:000389174400006
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofCommunications In Nonlinear Science And Numerical Simulation
dc.relation.ispartofsjr1,372
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectTime-delay differential equations
dc.subjectNetworks
dc.subjectSynchronization
dc.subjectHopf bifurcation
dc.subjectStability
dc.titleStability of small-amplitude periodic solutions near Hopf bifurcations in time-delayed fully-connected PLL networksen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.lattes7416585768192991[2]
unesp.author.orcid0000-0002-1113-3330[2]

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