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DC Field | Value | Language |
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dc.contributor.author | Tilles, Paulo F.C. | - |
dc.contributor.author | Cerdeira, Hilda A. | - |
dc.contributor.author | Ferreira, Fernando F. | - |
dc.date.accessioned | 2014-05-27T11:28:49Z | - |
dc.date.accessioned | 2016-10-25T18:46:41Z | - |
dc.date.available | 2014-05-27T11:28:49Z | - |
dc.date.available | 2016-10-25T18:46:41Z | - |
dc.date.issued | 2013-04-02 | - |
dc.identifier | http://dx.doi.org/10.1016/j.chaos.2013.02.008 | - |
dc.identifier.citation | Chaos, Solitons and Fractals, v. 49, n. 1, p. 32-46, 2013. | - |
dc.identifier.issn | 0960-0779 | - |
dc.identifier.uri | http://hdl.handle.net/11449/75048 | - |
dc.identifier.uri | http://acervodigital.unesp.br/handle/11449/75048 | - |
dc.description.abstract | In 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.extent | 32-46 | - |
dc.language.iso | eng | - |
dc.source | Scopus | - |
dc.subject | Analytical expressions | - |
dc.subject | Analyticity | - |
dc.subject | Kuramoto models | - |
dc.subject | Local attractors | - |
dc.subject | Periodic boundary conditions | - |
dc.subject | Stable fixed points | - |
dc.subject | Stable solutions | - |
dc.subject | Symmetry properties | - |
dc.subject | Dynamical systems | - |
dc.subject | Mathematical models | - |
dc.subject | Synchronization | - |
dc.title | Local attractors, degeneracy and analyticity: Symmetry effects on the locally coupled Kuramoto model | en |
dc.type | outro | - |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | - |
dc.contributor.institution | Universidade de São Paulo (USP) | - |
dc.description.affiliation | Instituto de Física Teórica UNESP-Universidade Estadual Paulista, Rua Dr. Bento Teobaldo, Ferraz 271, 01140-070 São Paulo | - |
dc.description.affiliation | Instituto de Física de São Carlos Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, SP | - |
dc.description.affiliation | GRIFE Escola de Arte, Ciências e Humanidades Universidade de São Paulo, Av. Arlindo Bettio 1000, 03828-000 São Paulo | - |
dc.description.affiliationUnesp | Instituto de Física Teórica UNESP-Universidade Estadual Paulista, Rua Dr. Bento Teobaldo, Ferraz 271, 01140-070 São Paulo | - |
dc.identifier.doi | 10.1016/j.chaos.2013.02.008 | - |
dc.identifier.wos | WOS:000318260900006 | - |
dc.rights.accessRights | Acesso restrito | - |
dc.relation.ispartof | Chaos, Solitons and Fractals | - |
dc.identifier.scopus | 2-s2.0-84875419076 | - |
Appears in Collections: | Artigos, TCCs, Teses e Dissertações da Unesp |
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