Phase synchronization on scale-free and random networks in the presence of noise

TL;DR

This study examines how noise affects the stability of synchronized states in the Kuramoto model on scale-free and random networks, revealing different robustness and transition behaviors.

Contribution

It provides a comparative analysis of noise-induced synchronization loss on scale-free versus random networks, highlighting distinct transition dynamics.

Findings

Random networks are more robust at low noise levels.

Synchronization vanishes suddenly in random networks at a critical noise.

Scale-free networks lose synchronization gradually at higher noise levels.

Abstract

In this work we investigate the stability of synchronized states for the Kuramoto model on scale-free and random networks in the presence of white noise forcing. We show that for a fixed coupling constant, the robustness of the globally synchronized state against the noise is dependent on the noise intensity on both kinds of networks. At low noise intensities the random networks are more robust against losing the coherency but upon increasing the noise, at a specific noise strength the synchronization among the population vanishes suddenly. In contrast, on scale-free networks the global synchronization disappears continuously at a much larger critical noise intensity respect to the random networks.