Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control
We consider a method for driving general complex networks into prescribed cluster synchronization patterns by using pinning control. The coupling between the vertices of the network is nonlinear, and sufficient conditions are derived analytically for the attainment of cluster synchronization. We als...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/262349 |
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| _version_ | 1832548438945824768 |
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| author | Jianwen Feng Jingyi Wang Chen Xu Francis Austin |
| author_facet | Jianwen Feng Jingyi Wang Chen Xu Francis Austin |
| author_sort | Jianwen Feng |
| collection | DOAJ |
| description | We consider a method for driving general complex networks into prescribed cluster synchronization patterns by using pinning control. The coupling between the vertices of the network is nonlinear, and sufficient conditions are derived analytically for the attainment of cluster synchronization. We also propose an effective way of adapting the coupling strengths of complex networks. In addition, the critical combination of the control strength, the number of pinned nodes and coupling strength in each cluster are given by detailed analysis cluster synchronization of a special topological structure complex network. Our theoretical results are illustrated by numerical simulations. |
| format | Article |
| id | doaj-art-f22daf2c205649838e80a6bf41f7c4c0 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f22daf2c205649838e80a6bf41f7c4c02025-02-03T06:14:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/262349262349Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning ControlJianwen Feng0Jingyi Wang1Chen Xu2Francis Austin3College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaDepartment of Applied Mathematics, The Hong Kong Polytechnic University, Hong KongWe consider a method for driving general complex networks into prescribed cluster synchronization patterns by using pinning control. The coupling between the vertices of the network is nonlinear, and sufficient conditions are derived analytically for the attainment of cluster synchronization. We also propose an effective way of adapting the coupling strengths of complex networks. In addition, the critical combination of the control strength, the number of pinned nodes and coupling strength in each cluster are given by detailed analysis cluster synchronization of a special topological structure complex network. Our theoretical results are illustrated by numerical simulations.http://dx.doi.org/10.1155/2011/262349 |
| spellingShingle | Jianwen Feng Jingyi Wang Chen Xu Francis Austin Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control Discrete Dynamics in Nature and Society |
| title | Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control |
| title_full | Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control |
| title_fullStr | Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control |
| title_full_unstemmed | Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control |
| title_short | Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control |
| title_sort | cluster synchronization of nonlinearly coupled complex networks via pinning control |
| url | http://dx.doi.org/10.1155/2011/262349 |
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