Cluster Projective Synchronization of Fractional-Order Complex Network via Pinning Control
Synchronization is the strongest form of collective phenomena in complex systems of interacting components. In this paper, the problem of cluster projective synchronization of complex networks with fractional-order nodes based on the fractional-order differential equation stability theory is investi...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/314742 |
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| _version_ | 1850160372646936576 |
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| author | Li-xin Yang Wan-sheng He Fan-di Zhang Jin-ping Jia |
| author_facet | Li-xin Yang Wan-sheng He Fan-di Zhang Jin-ping Jia |
| author_sort | Li-xin Yang |
| collection | DOAJ |
| description | Synchronization is the strongest form of collective phenomena in complex systems of interacting components. In this paper, the problem of cluster projective synchronization of complex networks with fractional-order nodes based on the fractional-order differential equation stability theory is investigated. Only the nodes in one community which have direct connections to the nodes in other communities are controlled. Some sufficient synchronization conditions are derived via pinning control. Numerical simulations are provided to show the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-b70ba457deff41d8ad5993a31e44d85b |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b70ba457deff41d8ad5993a31e44d85b2025-08-20T02:23:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/314742314742Cluster Projective Synchronization of Fractional-Order Complex Network via Pinning ControlLi-xin Yang0Wan-sheng He1Fan-di Zhang2Jin-ping Jia3School of Mathematic and Statistics, Tianshui Normal University, Tianshui 741001, ChinaSchool of Mathematic and Statistics, Tianshui Normal University, Tianshui 741001, ChinaSchool of Mathematic and Statistics, Tianshui Normal University, Tianshui 741001, ChinaSchool of Mathematic and Statistics, Tianshui Normal University, Tianshui 741001, ChinaSynchronization is the strongest form of collective phenomena in complex systems of interacting components. In this paper, the problem of cluster projective synchronization of complex networks with fractional-order nodes based on the fractional-order differential equation stability theory is investigated. Only the nodes in one community which have direct connections to the nodes in other communities are controlled. Some sufficient synchronization conditions are derived via pinning control. Numerical simulations are provided to show the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2014/314742 |
| spellingShingle | Li-xin Yang Wan-sheng He Fan-di Zhang Jin-ping Jia Cluster Projective Synchronization of Fractional-Order Complex Network via Pinning Control Abstract and Applied Analysis |
| title | Cluster Projective Synchronization of Fractional-Order Complex Network via Pinning Control |
| title_full | Cluster Projective Synchronization of Fractional-Order Complex Network via Pinning Control |
| title_fullStr | Cluster Projective Synchronization of Fractional-Order Complex Network via Pinning Control |
| title_full_unstemmed | Cluster Projective Synchronization of Fractional-Order Complex Network via Pinning Control |
| title_short | Cluster Projective Synchronization of Fractional-Order Complex Network via Pinning Control |
| title_sort | cluster projective synchronization of fractional order complex network via pinning control |
| url | http://dx.doi.org/10.1155/2014/314742 |
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