TY - JOUR
T1 - Synchronization-based scalability of complex clustered networks
AU - Ma, Xiaojuan
AU - Huang, Liang
AU - Lai, Ying-Cheng
AU - Wang, Yan
AU - Zheng, Zhigang
N1 - Funding Information:
L.H. and Y.C.L. are supported by AFOSR under Grant No. FA9550-07-1-0045, by ONR through WVHTC (West Virginia High Technology Consortium Foundation), and by an ASU-UA Collaborative Program on Biomedical Research. X.J.M. and Y.W.’s visit to Arizona State University is sponsored by the State Scholarship Fund of China. X.J.M., Y.W., and Z.G.Z. are partially supported by NNSF of China Grant Nos. 70431002 and 10575010, the 973 Program No. 2007CB814805, and the Foundation of Doctoral Training No. 20060027009.
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
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U2 - 10.1063/1.3005782
DO - 10.1063/1.3005782
M3 - Article
C2 - 19123619
AN - SCOPUS:58149330748
SN - 1054-1500
VL - 18
JO - Chaos
JF - Chaos
IS - 4
M1 - 043109
ER -