Hub-Induced Synchronization in Scale-Free Networks with Cluster Structure
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 clus...
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doaj-4167c3efd9b2432a944172d9f2708d2b2020-11-24T22:50:13ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/149453149453Hub-Induced Synchronization in Scale-Free Networks with Cluster StructureJianbao Zhang0Zhongjun Ma1Jinde Cao2School of Science, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaA 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.http://dx.doi.org/10.1155/2014/149453 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jianbao Zhang Zhongjun Ma Jinde Cao |
spellingShingle |
Jianbao Zhang Zhongjun Ma Jinde Cao Hub-Induced Synchronization in Scale-Free Networks with Cluster Structure Abstract and Applied Analysis |
author_facet |
Jianbao Zhang Zhongjun Ma Jinde Cao |
author_sort |
Jianbao Zhang |
title |
Hub-Induced Synchronization in Scale-Free Networks with Cluster Structure |
title_short |
Hub-Induced Synchronization in Scale-Free Networks with Cluster Structure |
title_full |
Hub-Induced Synchronization in Scale-Free Networks with Cluster Structure |
title_fullStr |
Hub-Induced Synchronization in Scale-Free Networks with Cluster Structure |
title_full_unstemmed |
Hub-Induced Synchronization in Scale-Free Networks with Cluster Structure |
title_sort |
hub-induced synchronization in scale-free networks with cluster structure |
publisher |
Hindawi Limited |
series |
Abstract and Applied Analysis |
issn |
1085-3375 1687-0409 |
publishDate |
2014-01-01 |
description |
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. |
url |
http://dx.doi.org/10.1155/2014/149453 |
work_keys_str_mv |
AT jianbaozhang hubinducedsynchronizationinscalefreenetworkswithclusterstructure AT zhongjunma hubinducedsynchronizationinscalefreenetworkswithclusterstructure AT jindecao hubinducedsynchronizationinscalefreenetworkswithclusterstructure |
_version_ |
1725673386157277184 |