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

TL;DR

This paper demonstrates that common white Gaussian noise can facilitate synchronization in large populations of globally coupled nonidentical oscillators, reducing the coupling strength needed for synchronization.

Contribution

It provides an analytical and numerical study showing how common noise promotes synchronization in coupled oscillator systems, a novel insight into noise-induced effects.

Findings

Critical coupling strength decreases with noise intensity

Common noise promotes synchronization onset

Numerical simulations confirm analytical predictions

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.