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Vlasov V, Macau EE, Pikovsky A. Synchronization of oscillators in a Kuramoto-type model with generic coupling. Chaos. 2014;24(2):023120doi: 10.1063/1.4880835.
Vlasov, V., Macau, E. E., & Pikovsky, A. (2014). Synchronization of oscillators in a Kuramoto-type model with generic coupling. Chaos (Woodbury, N.Y.), 24(2), 023120. https://doi.org/10.1063/1.4880835
Vlasov, Vladimir, et al. "Synchronization of oscillators in a Kuramoto-type model with generic coupling." Chaos (Woodbury, N.Y.) vol. 24,2 (2014): 023120. doi: https://doi.org/10.1063/1.4880835
Vlasov V, Macau EE, Pikovsky A. Synchronization of oscillators in a Kuramoto-type model with generic coupling. Chaos. 2014 Jun;24(2):023120. doi: 10.1063/1.4880835. PMID: 24985434.
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Chaos. 2014 Jun;24(2):023120. doi: 10.1063/1.4880835.

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

Chaos (Woodbury, N.Y.)

Vladimir Vlasov, Elbert E N Macau, Arkady Pikovsky

Affiliations

  1. Department of Physics and Astronomy, Potsdam University, 14476 Potsdam, Germany.
  2. National Institute for Space Research - INPE, 12227-010 Sao Jose dos Campos, SP, Brazil.

PMID: 24985434 DOI: 10.1063/1.4880835

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.

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