Relations between structural properties and synchronizability on local world dynamical networks

Abstract

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 maximum betweenness centrality appears to be responsible for the decrease of the synchronizability.

* Supported by National Natural Science Foundation of China (Grant No. 60574036), the Program for New Century Excellent Talents in University of China (NCET), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20050055013)

Keywords:

• complex dynamical network
• local-world evolving model
• synchronizability
• structural properties
• betweenness centrality

Notes

* Supported by National Natural Science Foundation of China (Grant No. 60574036), the Program for New Century Excellent Talents in University of China (NCET), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20050055013)