Local attractors, degeneracy and analyticity: Symmetry effects on the locally coupled Kuramoto model

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dc.contributor.authorTilles, Paulo F.C. [UNESP]
dc.contributor.authorCerdeira, Hilda A. [UNESP]
dc.contributor.authorFerreira, Fernando F.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2014-05-27T11:28:49Z
dc.date.available2014-05-27T11:28:49Z
dc.date.issued2013-04-02
dc.description.abstractIn this work we study the local coupled Kuramoto model with periodic boundary conditions. Our main objective is to show how analytical solutions may be obtained from symmetry assumptions, and while we proceed on our endeavor we show apart from the existence of local attractors, some unexpected features resulting from the symmetry properties, such as intermittent and chaotic period phase slips, degeneracy of stable solutions and double bifurcation composition. As a result of our analysis, we show that stable fixed points in the synchronized region may be obtained with just a small amount of the existent solutions, and for a class of natural frequencies configuration we show analytical expressions for the critical synchronization coupling as a function of the number of oscillators, both exact and asymptotic. © 2013 Elsevier Ltd. All rights reserved.en
dc.description.affiliationInstituto de Física Teórica UNESP-Universidade Estadual Paulista, Rua Dr. Bento Teobaldo, Ferraz 271, 01140-070 São Paulo
dc.description.affiliationInstituto de Física de São Carlos Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, SP
dc.description.affiliationGRIFE Escola de Arte, Ciências e Humanidades Universidade de São Paulo, Av. Arlindo Bettio 1000, 03828-000 São Paulo
dc.description.affiliationUnespInstituto de Física Teórica UNESP-Universidade Estadual Paulista, Rua Dr. Bento Teobaldo, Ferraz 271, 01140-070 São Paulo
dc.format.extent32-46
dc.identifierhttp://dx.doi.org/10.1016/j.chaos.2013.02.008
dc.identifier.citationChaos, Solitons and Fractals, v. 49, n. 1, p. 32-46, 2013.
dc.identifier.doi10.1016/j.chaos.2013.02.008
dc.identifier.issn0960-0779
dc.identifier.scopus2-s2.0-84875419076
dc.identifier.urihttp://hdl.handle.net/11449/75048
dc.identifier.wosWOS:000318260900006
dc.language.isoeng
dc.relation.ispartofChaos, Solitons and Fractals
dc.relation.ispartofjcr2.213
dc.relation.ispartofsjr0,678
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectAnalytical expressions
dc.subjectAnalyticity
dc.subjectKuramoto models
dc.subjectLocal attractors
dc.subjectPeriodic boundary conditions
dc.subjectStable fixed points
dc.subjectStable solutions
dc.subjectSymmetry properties
dc.subjectDynamical systems
dc.subjectMathematical models
dc.subjectSynchronization
dc.titleLocal attractors, degeneracy and analyticity: Symmetry effects on the locally coupled Kuramoto modelen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
unesp.author.orcid0000-0002-8274-5908[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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