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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.)

Dynamics of Multifrequency Oscillator Communities

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Author(s):
Komarov, Maxim [1, 2] ; Pikovsky, Arkady [2]
Total Authors: 2
Affiliation:
[1] Nizhni Novgorod Univ, Dept Control Theory, Nizhnii Novgorod 606950 - Russia
[2] Univ Potsdam, Dept Phys & Astron, D-14476 Potsdam - Germany
Total Affiliations: 2
Document type: Journal article
Source: Physical Review Letters; v. 110, n. 13 MAR 26 2013.
Web of Science Citations: 17
Abstract

We consider a generalization of the Kuramoto model of coupled oscillators to the situation where communities of oscillators having essentially different natural frequencies interact. General equations describing possible resonances between the communities' frequencies are derived. The simplest situation of three resonantly interacting groups is analyzed in detail. We find conditions for the mutual coupling to promote or suppress synchrony in individual populations and present examples where the interaction between communities leads to their synchrony or to a partially asynchronous state or to a chaotic dynamics of order parameters. DOI: 10.1103/PhysRevLett.110.134101 (AU)

FAPESP's process: 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants