2013/01/31 by Yi Ming Lai, Mason A. Porter · 1 citation
Physics and Astronomy · Mathematics · #nlin.AO #cond-mat.dis-nn #math.DS
paper · pdf · doi:10.1103/physreve.88.012905
published as Phys. Rev. E 88, 012905 (2013) · 7 pages, 5 figures (some with multiple parts)
arxiv created 2013/09/24 · arxiv updated 2013/09/26
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 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 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.