Synchronization Transition in the Kuramoto Model with Colored Noise

Abstract

We present a linear stability analysis of the incoherent state in a system of globally coupled, identical phase oscillators subject to colored noise. In that we succeed to bridge the extreme time scales between the formerly studied and analytically solvable cases of white noise and quenched random frequencies.

4 pages, 2 figures

References in corpus (3)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution
• Partially integrable dynamics of hierarchical populations of coupled oscillators

Cited by in corpus (9)

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• Gaussian noise and the two-network frustrated Kuramoto model
• Low-dimensional dynamics of phase oscillators driven by Cauchy noise
• Noise induced swarming of active particles
• Synchronization transition in the two-dimensional Kuramoto model with dichotomous noise
• Two network Kuramoto-Sakaguchi model under tempered stable Lévy noise
• Synchronization on star graph with noise
• Synchronization of weakly perturbed Markov chain oscillators
• Synchronization of Chaos