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

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dc.creatorNakao, Hiroya
dc.creatorArai, Kensuke
dc.creatorKawamura, Yoji
dc.date2007-05-17
dc.date.accessioned2026-07-07T08:02:00Z
dc.date.available2026-07-07T08:02:00Z
dc.descriptionWe 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.
dc.description6 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0705.2475
dc.identifierhttp://arxiv.org/abs/0705.2475
dc.identifierPhys. Rev. Lett. 98, 184101 (2007)
dc.identifierdoi:10.1103/PhysRevLett.98.184101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129095
dc.subjectAdaptation and Self-Organizing Systems
dc.titleNoise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
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