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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.)

Collective dynamics in two populations of noisy oscillators with asymmetric interactions

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Autor(es):
Sonnenschein, Bernard [1] ; Peron, Thomas K. D. M. [2, 3] ; Rodrigues, Francisco A. [4] ; Kurths, Juergen [1, 2] ; Schimansky-Geier, Lutz [1]
Número total de Autores: 5
Afiliação do(s) autor(es):
[1] Humboldt Univ, Dept Phys, D-12489 Berlin - Germany
[2] Potsdam Inst Climate Impact Res PIK, D-14473 Potsdam - Germany
[3] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Carlos, SP - Brazil
[4] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Número total de Afiliações: 4
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 91, n. 6 JUN 16 2015.
Citações Web of Science: 12
Resumo

We study two intertwined globally coupled networks of noisy Kuramoto phase oscillators that have the same natural frequency but differ in their perception of the mean field and their contribution to it. Such a give-and-take mechanism is given by asymmetric in- and out-coupling strengths which can be both positive and negative. We uncover in this minimal network of networks intriguing patterns of discordance, where the ensemble splits into two clusters separated by a constant phase lag. If it differs from pi, then traveling wave solutions emerge. We observe a second route to traveling waves via traditional one-cluster states. Bistability is found between the various collective states. Analytical results and bifurcation diagrams are derived with a reduced system. (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