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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Explosive synchronization is discontinuous

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Autor(es):
Vlasov, Vladimir [1] ; Zou, Yong [2] ; Pereira, Tiago [3, 4]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] Univ Potsdam, Inst Phys, D-14469 Potsdam - Germany
[2] E China Normal Univ, Dept Phys, Shanghai 200062 - Peoples R China
[3] Univ Sao Paulo, Inst Math & Comp Sci, Sao Paulo - Brazil
[4] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ - England
Número total de Afiliações: 4
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 92, n. 1 JUL 6 2015.
Citações Web of Science: 15
Resumo

Spontaneous explosive is an abrupt transition to collective behavior taking place in heterogeneous networks when the frequencies of the nodes are positively correlated with the node degree. This explosive transition was conjectured to be discontinuous. Indeed, numerical investigations reveal a hysteresis behavior associated with the transition. Here, we analyze explosive synchronization in star graphs. We show that in the thermodynamic limit the transition to (and out of) collective behavior is indeed discontinuous. The discontinuous nature of the transition is related to the nonlinear behavior of the order parameter, which in the thermodynamic limit exhibits multiple fixed points. Moreover, we unravel the hysteresis behavior in terms of the graph parameters. Our numerical results show that finite-size graphs are well described by our predictions. (AU)

Processo FAPESP: 11/50151-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações
Beneficiário:Elbert Einstein Nehrer Macau
Linha de fomento: Auxílio à Pesquisa - Temático