Noise-Induced Synchronization of a Large Population of Globally Coupled Nonidentical Oscillators

Abstract

We study a large population of globally coupled phase oscillators subject to common white Gaussian noise and find analytically that the critical coupling strength between oscillators for synchronization transition decreases with an increase in the intensity of common noise. Thus, common noise promotes the onset of synchronization. Our prediction is confirmed by numerical simulations of the phase oscillators as well as of limit-cycle oscillators.

References in corpus (3)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
• Phase reduction of stochastic limit cycle oscillators

Cited by in corpus (2)

• Phase synchronization between collective rhythms of globally coupled oscillator groups: noiseless non-identical case
• Synchronization of coupled active rotators by common noise