Open Access
2014 Hub-Induced Synchronization in Scale-Free Networks with Cluster Structure
Jianbao Zhang, Zhongjun Ma, Jinde Cao
Abstr. Appl. Anal. 2014(SI42): 1-7 (2014). DOI: 10.1155/2014/149453


A recent research indicated that the corticocortical connectivity network of the cat possesses cluster structure and that each cluster in the network is scale-free and has a most connected hub. Motivated by that research, we slightly modify the network model and derive sufficient conditions for cluster synchronization of the modified network based on Lyapunov function method. The obtained results indicate that cluster synchronization can be induced by the hubs of the scale-free networks. In our opinion, the concept of hub-induced synchronization provides a better understanding of cluster synchronization in scale-free networks. Numerical examples are provided to demonstrate the effectiveness of the theoretical results.


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Jianbao Zhang. Zhongjun Ma. Jinde Cao. "Hub-Induced Synchronization in Scale-Free Networks with Cluster Structure." Abstr. Appl. Anal. 2014 (SI42) 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021813
MathSciNet: MR3193487
Digital Object Identifier: 10.1155/2014/149453

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI42 • 2014
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