Effects of Weight Distribution on Synchronization in Small-world Network

Many social, biological and ecological systems are better described as weighted networks than binary networks. It was found recently that many real-world networks exhibited nonuniform weight distribution. In this paper, we propose a weighted small-world network model in which the weight distribution can be controlled, and we study the synchronization behavior in this network. We find that the synchronize ability is weaker in a small-world network with power-law weight distribution than that with random weight distribution.