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arXiv · 0705.2475

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

Hiroya Nakao·Kensuke Arai·Yoji Kawamura
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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.

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Hiroya Nakao, Kensuke Arai, Yoji Kawamura. 2007-05-17. Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators. https://doi.org/10.1103/physrevlett.98.184101

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