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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.)

Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations

Texto completo
Autor(es):
Sonnenschein, Bernard [1, 2] ; Peron, Thomas K. D. M. [3] ; Rodrigues, Francisco A. [4] ; Kurths, Juergen [1, 2] ; Schimansky-Geier, Lutz [1, 2]
Número total de Autores: 5
Afiliação do(s) autor(es):
[1] Humboldt Univ, Dept Phys, D-12489 Berlin - Germany
[2] Bernstein Ctr Computat Neurosci Berlin, D-10115 Berlin - Germany
[3] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Paulo - Brazil
[4] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, BR-13560970 Sao Paulo - Brazil
Número total de Afiliações: 4
Tipo de documento: Artigo Científico
Fonte: European Physical Journal B; v. 87, n. 8 AUG 11 2014.
Citações Web of Science: 9
Resumo

We study the collective dynamics of noise-driven excitable elements, so-called active rotators. Crucially here, the natural frequencies and the individual coupling strengths are drawn from some joint probability distribution. Combining a mean-field treatment with a Gaussian approximation allows us to find examples where the infinite-dimensional system is reduced to a few ordinary differential equations. Our focus lies in the cooperative behavior in a population consisting of two parts, where one is composed of excitable elements, while the other one contains only self-oscillatory units. Surprisingly, excitable behavior in the whole system sets in only if the excitable elements have a smaller coupling strength than the self-oscillating units. In this way positive local correlations between natural frequencies and couplings shape the global behavior of mixed populations of excitable and oscillatory elements. (AU)

Processo FAPESP: 13/26416-9 - Modelagem de processos dinâmicos em redes complexas
Beneficiário:Francisco Aparecido Rodrigues
Linha de fomento: Auxílio à Pesquisa - Regular
Processo FAPESP: 12/22160-7 - Sincronização de Osciladores de Kuramoto em Redes Complexas
Beneficiário:Thomas Kaue Dal Maso Peron
Linha de fomento: Bolsas no Brasil - Doutorado