Relations between structural properties and synchronizability on local world dynamical networks

In this paper, the effects of various structural properties on the synchronization of coupled oscillators with local-world coupling configurations are investigated. It is found that for local world networks, the larger heterogeneity of the degree distribution, the enhanced interconnection of nodes, and the increased clustering do not improve the synchronizability of dynamical systems. On the contrary, the increase of the maximum betweenness centrality appears to be responsible for the decrease of the synchronizability.