Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling Matrix
This paper addresses the hybrid synchronization problem in two nonlinearly coupled complex networks with asymmetrical coupling matrices under pinning control schemes. The hybrid synchronization of two complex networks is the outer antisynchronization between the driving network and the response netw...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/959368 |
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| _version_ | 1832562267469643776 |
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| author | Jianwen Feng Ze Tang Jingyi Wang Yi Zhao |
| author_facet | Jianwen Feng Ze Tang Jingyi Wang Yi Zhao |
| author_sort | Jianwen Feng |
| collection | DOAJ |
| description | This paper addresses the hybrid synchronization problem in two nonlinearly coupled complex networks with asymmetrical coupling matrices under pinning control schemes. The hybrid synchronization of two complex networks is the outer antisynchronization between the driving network and the response network while the inner complete synchronization in the driving network and the response network. We will show that only a small number of pinning feedback controllers acting on some nodes are effective for synchronization control
of the mentioned dynamical networks. Based on Lyapunov Stability Theory, some simple criteria for hybrid
synchronization are derived for such dynamical networks by pinning control strategy. Numerical examples
are provided to illustrate the effectiveness of our theoretical results. |
| format | Article |
| id | doaj-art-649aa9c0ca8946f69f49ee66eb2939e3 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-649aa9c0ca8946f69f49ee66eb2939e32025-02-03T01:23:03ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/959368959368Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling MatrixJianwen Feng0Ze Tang1Jingyi Wang2Yi Zhao3College of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, ChinaThis paper addresses the hybrid synchronization problem in two nonlinearly coupled complex networks with asymmetrical coupling matrices under pinning control schemes. The hybrid synchronization of two complex networks is the outer antisynchronization between the driving network and the response network while the inner complete synchronization in the driving network and the response network. We will show that only a small number of pinning feedback controllers acting on some nodes are effective for synchronization control of the mentioned dynamical networks. Based on Lyapunov Stability Theory, some simple criteria for hybrid synchronization are derived for such dynamical networks by pinning control strategy. Numerical examples are provided to illustrate the effectiveness of our theoretical results.http://dx.doi.org/10.1155/2013/959368 |
| spellingShingle | Jianwen Feng Ze Tang Jingyi Wang Yi Zhao Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling Matrix Discrete Dynamics in Nature and Society |
| title | Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling Matrix |
| title_full | Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling Matrix |
| title_fullStr | Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling Matrix |
| title_full_unstemmed | Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling Matrix |
| title_short | Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling Matrix |
| title_sort | pinning two nonlinearly coupled complex networks with an asymmetrical coupling matrix |
| url | http://dx.doi.org/10.1155/2013/959368 |
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