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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.)

Synchronization of oscillators in a Kuramoto-type model with generic coupling

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Author(s):
Vlasov, Vladimir [1] ; Macau, Elbert E. N. [2] ; Pikovsky, Arkady [3, 1]
Total Authors: 3
Affiliation:
[1] Univ Potsdam, Dept Phys & Astron, D-14476 Potsdam - Germany
[2] Natl Inst Space Res INPE, BR-12227010 Sao Jose Dos Campos, SP - Brazil
[3] Nizhnii Novgorod State Univ, Dept Control Theory, Nizhnii Novgorod 606950 - Russia
Total Affiliations: 3
Document type: Journal article
Source: Chaos; v. 24, n. 2 JUN 2014.
Web of Science Citations: 14
Abstract

We study synchronization properties of coupled oscillators on networks that allow description in terms of global mean field coupling. These models generalize the standard Kuramoto-Sakaguchi model, allowing for different contributions of oscillators to the mean field and to different forces from the mean field on oscillators. We present the explicit solutions of self-consistency equations for the amplitude and frequency of the mean field in a parametric form, valid for noise-free and noise-driven oscillators. As an example, we consider spatially spreaded oscillators for which the coupling properties are determined by finite velocity of signal propagation. (C) 2014 AIP Publishing LLC. (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