Cluster Synchronization of Time-Varying Delays Coupled Complex Networks with Nonidentical Dynamical Nodes
This paper investigates a new cluster synchronization scheme in the nonlinear coupled complex dynamical networks with nonidentical nodes. The controllers are designed based on the community structure of the networks; some sufficient criteria are derived to ensure cluster synchronization of the netwo...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/958405 |
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| _version_ | 1832561329249976320 |
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| author | Shuguo Wang Hongxing Yao Mingping Sun |
| author_facet | Shuguo Wang Hongxing Yao Mingping Sun |
| author_sort | Shuguo Wang |
| collection | DOAJ |
| description | This paper investigates a new cluster synchronization scheme in the nonlinear coupled complex dynamical networks with nonidentical nodes. The controllers are designed based on the community structure of the networks; some sufficient criteria are derived to ensure cluster synchronization of the network model. Particularly, the weight configuration matrix is not assumed to be symmetric, irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-f601303fa9a948fcb06f3cb997ec1d91 |
| 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-f601303fa9a948fcb06f3cb997ec1d912025-02-03T01:25:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/958405958405Cluster Synchronization of Time-Varying Delays Coupled Complex Networks with Nonidentical Dynamical NodesShuguo Wang0Hongxing Yao1Mingping Sun2Department of Mathematics and Physics, Changzhou Campus, Hohai University, Jiangsu, Changzhou 213022, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaThis paper investigates a new cluster synchronization scheme in the nonlinear coupled complex dynamical networks with nonidentical nodes. The controllers are designed based on the community structure of the networks; some sufficient criteria are derived to ensure cluster synchronization of the network model. Particularly, the weight configuration matrix is not assumed to be symmetric, irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2012/958405 |
| spellingShingle | Shuguo Wang Hongxing Yao Mingping Sun Cluster Synchronization of Time-Varying Delays Coupled Complex Networks with Nonidentical Dynamical Nodes Journal of Applied Mathematics |
| title | Cluster Synchronization of Time-Varying Delays Coupled Complex Networks
with Nonidentical Dynamical Nodes |
| title_full | Cluster Synchronization of Time-Varying Delays Coupled Complex Networks
with Nonidentical Dynamical Nodes |
| title_fullStr | Cluster Synchronization of Time-Varying Delays Coupled Complex Networks
with Nonidentical Dynamical Nodes |
| title_full_unstemmed | Cluster Synchronization of Time-Varying Delays Coupled Complex Networks
with Nonidentical Dynamical Nodes |
| title_short | Cluster Synchronization of Time-Varying Delays Coupled Complex Networks
with Nonidentical Dynamical Nodes |
| title_sort | cluster synchronization of time varying delays coupled complex networks with nonidentical dynamical nodes |
| url | http://dx.doi.org/10.1155/2012/958405 |
| work_keys_str_mv | AT shuguowang clustersynchronizationoftimevaryingdelayscoupledcomplexnetworkswithnonidenticaldynamicalnodes AT hongxingyao clustersynchronizationoftimevaryingdelayscoupledcomplexnetworkswithnonidenticaldynamicalnodes AT mingpingsun clustersynchronizationoftimevaryingdelayscoupledcomplexnetworkswithnonidenticaldynamicalnodes |