Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes

This paper investigates a new cluster antisynchronization scheme in the time-varying delays coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently between the nodes in one community that have direct conne...

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Main Authors: Shuguo Wang, Chunyuan He, Hongxing Yao
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/347570
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author Shuguo Wang
Chunyuan He
Hongxing Yao
author_facet Shuguo Wang
Chunyuan He
Hongxing Yao
author_sort Shuguo Wang
collection DOAJ
description This paper investigates a new cluster antisynchronization scheme in the time-varying delays coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently between the nodes in one community that have direct connections to the nodes in other communities and the nodes without direct connections with the nodes in other communities strategy; some sufficient criteria are derived to ensure cluster anti-synchronization of the network model. Particularly, the weight configuration matrix is not assumed to be irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.
format Article
id doaj-art-8ee096d3a6634ae7be2053c9e6714c41
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-8ee096d3a6634ae7be2053c9e6714c412025-02-03T05:47:02ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/347570347570Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical NodesShuguo Wang0Chunyuan He1Hongxing Yao2Department of Mathematics and Physics, Changzhou Campus, Hohai University, Jiangsu, Changzhou 213022, ChinaDepartment of Mathematics and Physics, Changzhou Campus, Hohai University, Jiangsu, Changzhou 213022, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaThis paper investigates a new cluster antisynchronization scheme in the time-varying delays coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently between the nodes in one community that have direct connections to the nodes in other communities and the nodes without direct connections with the nodes in other communities strategy; some sufficient criteria are derived to ensure cluster anti-synchronization of the network model. Particularly, the weight configuration matrix is not assumed to be irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2012/347570
spellingShingle Shuguo Wang
Chunyuan He
Hongxing Yao
Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes
Journal of Applied Mathematics
title Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes
title_full Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes
title_fullStr Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes
title_full_unstemmed Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes
title_short Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes
title_sort cluster anti synchronization of complex networks with nonidentical dynamical nodes
url http://dx.doi.org/10.1155/2012/347570
work_keys_str_mv AT shuguowang clusterantisynchronizationofcomplexnetworkswithnonidenticaldynamicalnodes
AT chunyuanhe clusterantisynchronizationofcomplexnetworkswithnonidenticaldynamicalnodes
AT hongxingyao clusterantisynchronizationofcomplexnetworkswithnonidenticaldynamicalnodes