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

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

2008-04-15

arxiv.org/abs/0804.2383v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1742-5468/2008/10/P10020

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.

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