Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators

Hiroya Nakao, Kensuke Arai, and Yoji Kawamura
Phys. Rev. Lett. 98, 184101 – Published 2 May 2007

Abstract

We study synchronization properties of general uncoupled limit-cycle oscillators driven by common and independent Gaussian white noises. Using phase reduction and averaging methods, we analytically derive the stationary distribution of the phase difference between oscillators for weak noise intensity. We demonstrate that in addition to synchronization, clustering, or more generally coherence, always results from arbitrary initial conditions, irrespective of the details of the oscillators.

  • Figure
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  • Received 23 June 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.184101

©2007 American Physical Society

Authors & Affiliations

Hiroya Nakao, Kensuke Arai, and Yoji Kawamura

  • Department of Physics, Kyoto University, Kyoto 606-8502, Japan

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Issue

Vol. 98, Iss. 18 — 4 May 2007

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