Enhancing Synchronizabilities of Power-Law Networks

Many real networks have the similar power-law form connection distribution. However, networks with the same degree distribution may have quite different dynamical behaviors and other topological properties. In this paper, a synchronization-preferential rewiring mechanism for enhancing the synchronizability of a dynamical network while keep the power-law degree distribution unchanged is proposed. We also find that, as the synchronizability of the network enhances, the characteristic path length and assortativity decrease, but the maximum betweenness centrality does not have obvious decreasing trend.