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 (8)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Long Time Evolution of Phase Oscillator Systems
• Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators
• Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
• Stochastic phase reduction for a general class of noisy limit cycle oscillators
• Phase reduction of stochastic limit cycle oscillators
• Collective dynamical response of coupled oscillators with any network structure
• Synchronization in coupled phase oscillators

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• Interplay of coupling and common noise at the transition to synchrony in oscillator populations
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• Coherent Dynamics Enhanced by Uncorrelated Noise
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• Counterpart synchronization of duplex networks with delayed nodes and noise perturbation
• Relationships between the Distribution of Watanabe-Strogatz Variables and Circular Cumulants for Ensembles of Phase Elements
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• Thermodynamics aspects of noise-induced phase synchronization
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