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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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 |