Noise-induced synchronization, desynchronization, and clustering in globally coupled nonidentical oscillators
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AbstractWe 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 desynchronize a system. By introducing noise in various ways, we find an estimate for the onset of synchrony of a system in terms of the coupling strength, noise strength, and width of the frequency distribution of its natural oscillations. We also demonstrate that noise alone can be 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 desynchronization 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. © 2013 American Physical Society.
CitationLai YM, Porter MA (2013) Noise-induced synchronization, desynchronization, and clustering in globally coupled nonidentical oscillators. Phys Rev E 88. Available: http://dx.doi.org/10.1103/PhysRevE.88.012905.
SponsorsY.M.L. was funded in part by a grant from KAUST. We thank Sherry Chen for early work on antiferromagnetic synchronization and Mike Cross for his collaboration on that precursor project. We thank Erik Bollt and Jie Sun for helpful comments.
PublisherAmerican Physical Society (APS)
JournalPhysical Review E