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Phys Rev Lett. 2007 May 4;98(18):184101. Epub 2007 May 2.

Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators.

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


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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