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

摘要

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