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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Collective dynamics in two populations of noisy oscillators with asymmetric interactions

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Sonnenschein, Bernard [1] ; Peron, Thomas K. D. M. [2, 3] ; Rodrigues, Francisco A. [4] ; Kurths, Juergen [3, 1] ; Schimansky-Geier, Lutz [1]
Total Authors: 5
[1] Humboldt Univ, Dept Phys, D-12489 Berlin - Germany
[2] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Carlos, SP - Brazil
[3] Potsdam Inst Climate Impact Res PIK, D-14473 Potsdam - Germany
[4] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Physical Review E; v. 91, n. 6 JUN 16 2015.
Web of Science Citations: 12

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)

FAPESP's process: 12/22160-7 - Synchronization of Kuramoto Oscillators in Complex Networks
Grantee:Thomas Kaue Dal Maso Peron
Support type: Scholarships in Brazil - Doctorate
FAPESP's process: 13/26416-9 - Modelling of dynamical processes in complex networks
Grantee:Francisco Aparecido Rodrigues
Support type: Regular Research Grants