Monday, January 7, 2013

1301.0796 (Yi Ming Lai et al.)

Noise-Induced Synchronization, Desynchronization, and Clustering in
Globally Coupled Nonidentical Oscillators

Yi Ming Lai, Mason A. Porter
We study ensembles of globally coupled, nonidentical phase oscillators subject to correlated noise, and we identify several important factors that cause noise and coupling to synchronize or desychronize a system. By introducing noise in various ways, we find a novel estimate for the onset of synchrony of the system in terms of the coupling strength, noise strength, and width of the frequency distribution of the natural oscillations. We also demonstrate that noise alone is sufficient to synchronize nonidentical oscillators. However, this synchrony depends on the first Fourier mode of a phase-sensitivity function, through which we introduce common noise into the system. We show that higher Fourier modes can cause desychronization due to clustering effects, and that this can reinforce clustering caused by different forms of coupling. Finally, we discuss the effects of noise on an ensemble in which antiferromagnetic coupling causes oscillators to form two clusters in the absence of noise.
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