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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/75048
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dc.contributor.authorTilles, Paulo F.C.-
dc.contributor.authorCerdeira, Hilda A.-
dc.contributor.authorFerreira, Fernando F.-
dc.date.accessioned2014-05-27T11:28:49Z-
dc.date.accessioned2016-10-25T18:46:41Z-
dc.date.available2014-05-27T11:28:49Z-
dc.date.available2016-10-25T18:46:41Z-
dc.date.issued2013-04-02-
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.issn0960-0779-
dc.identifier.urihttp://hdl.handle.net/11449/75048-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/75048-
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.format.extent32-46-
dc.language.isoeng-
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.typeoutro-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionUniversidade de São Paulo (USP)-
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.identifier.doi10.1016/j.chaos.2013.02.008-
dc.identifier.wosWOS:000318260900006-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofChaos, Solitons and Fractals-
dc.identifier.scopus2-s2.0-84875419076-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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