Synchronization Transition in the Kuramoto Model with Colored Noise

TL;DR

This paper analyzes how colored noise affects the synchronization transition in the Kuramoto model, bridging the gap between white noise and quenched disorder cases through linear stability analysis.

Contribution

It provides a linear stability analysis of the incoherent state in the Kuramoto model with colored noise, connecting previously studied white noise and quenched frequency limits.

Findings

Established stability criteria for colored noise

Bridged analytical gap between white noise and quenched cases

Enhanced understanding of synchronization dynamics with colored noise

Abstract

We present a linear stability analysis of the incoherent state in a system of globally coupled, identical phase oscillators subject to colored noise. In that we succeed to bridge the extreme time scales between the formerly studied and analytically solvable cases of white noise and quenched random frequencies.