Collective dynamics in two populations of noisy oscillators with asymmetric interactions

Autor(es)

Sonnenschein, Bernard ; Peron, Thomas K. D. M. ; Rodrigues, Francisco A. ; Kurths, Juergen ; Schimansky-Geier, Lutz

• Tipo de documento: Artigo Científico
• Fonte: Physical Review E; v. 91, n. 6, p. 7-pg., 2015-06-16.

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
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 12/22160-7 - Sincronização de Osciladores de Kuramoto em Redes Complexas
• Beneficiário: Thomas Kaue Dal Maso Peron
• Modalidade de apoio: Bolsas no Brasil - Doutorado