Synchronization and resonance in a driven system of coupled oscillators

TL;DR

This paper investigates how noise influences synchronization and resonance in a driven system of globally coupled oscillators, revealing that noise generally suppresses synchronization but can enhance periodic response at optimal levels.

Contribution

It introduces a self-consistency equation for the order parameter in a driven oscillator system, highlighting the interplay between noise, coupling strength, and resonance phenomena.

Findings

Total order parameter decreases monotonically with noise

Optimal noise level maximizes the ac component of the order parameter

Phase velocity exhibits resonance behavior at certain noise levels

Abstract

We study the noise effects in a driven system of globally coupled oscillators, with particular attention to the interplay between driving and noise. The self-consistency equation for the order parameter, which measures the collective synchronization of the system, is derived; it is found that the total order parameter decreases monotonically with noise, indicating overall suppression of synchronization. Still, for large coupling strengths, there exists an optimal noise level at which the periodic (ac) component of the order parameter reaches its maximum. The response of the phase velocity is also examined and found to display resonance behavior.