Noise Effects on Synchronized Globally Coupled Oscillators

TL;DR

This paper introduces a new analytical method to study how noise affects the synchronization of globally coupled nonlinear oscillators, revealing complex interactions that alter their effective frequency.

Contribution

A novel analytical approach is developed to analyze noise effects on synchronized nonlinear oscillators with general couplings and noise correlations.

Findings

Noise can increase or decrease the effective frequency depending on coupling nonlinearity.

Linear couplings always show an increase in effective frequency due to noise.

Nonlinear couplings exhibit both positive and negative noise effects based on parameters.

Abstract

The synchronized phase of globally coupled nonlinear oscillators subject to noise fluctuations is studied by means of a new analytical approach able to tackle general couplings, nonlinearities, and noise temporal correlations. Our results show that the interplay between coupling and noise modifies the effective frequency of the system in a non trivial way. Whereas for linear couplings the effect of noise is always to increase the effective frequency, for nonlinear couplings the noise influence is shown to be positive or negative depending on the problem parameters. Possible experimental verification of the results is discussed.