Synchronization-based scalability of complex clustered networks.
Complex clustered networks arise in biological, social, physical, and technological systems, and the synchronous dynamics on such networks have attracted recent interests. Here we investigate system-size dependence of the synchronizability of these networks. Theoretical analysis and numerical computations reveal that, for a typical clustered network, as its size is increased, the synchronizability can be maintained or even enhanced but at the expense of deterioration of the clustered characteristics in the topology that distinguish this type of networks from other types of complex networks. An implication is that, for a large network in a realistic situation, if synchronization is important for its function, then most likely it will not have a clustered topology.
Ma
Xiaojuan
X
Department of Electrical Engineering, Arizona State University, Tempe, Arizona 85287, USA.
Huang
Liang
L
Lai
Ying-Cheng
YC
Wang
Yan
Y
Zheng
Zhigang
Z
D000465:Algorithms; D003198:Computer Simulation; D003344:Cortical Synchronization / Q000379:methods*; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*