Hub-induced synchronization in scale-free networks with cluster structure
type: Item
instance of: scholarly article
title: Hub-induced synchronization in scale-free networks with cluster structure
zbMATH Open document ID: 1470.34139
DOI: 10.1155/2014/149453
author: Jianbao Zhang
author: Zhongjun Ma
author: Jinde Cao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 7021813
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/149453
OpenAlex ID: W2040472477
Wikidata QID: Q59035514
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description: scientific article; zbMATH DE number 7021813