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

Author(s)

Vlasov, Vladimir ^[1] ; Macau, Elbert E. N. ^[2] ; Pikovsky, Arkady ^{[3, 1]}

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

• 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