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

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

2007-05-17

arxiv.org/abs/0705.2475v1

Phys. Rev. Lett. 98, 184101 (2007)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

6 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.98.184101

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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