| Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems) |
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| 作者姓名： | 周平 程元明 邝菲 |
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| 作者单位： | Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
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| 基金项目： | Project supported by the Education Committee of Chongqing Province, China (Grant No. KJ090503). |
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| 摘 要： | Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems. The proposed synchronization approach in this paper shows that the synchronization between fractional-order chaotic systems and chaotic systems of integer orders can be achieved, and the synchronization between different fractional-order chaotic systems can also be realized. Numerical experiments show that the present method works very well.
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| 关 键 词： | fractional-order chaotic systems chaotic systems of integer orders different fractional- order chaotic systems synchronization |
| 收稿时间： | 2009-12-30 |
Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems) |
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| Zhou Ping,Cheng Yuan-Ming and Kuang Fei.Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)[J].Chinese Physics B,2010,19(9):90503-090503. |
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| Authors: | Zhou Ping Cheng Yuan-Ming and Kuang Fei |
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| Institution: | Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
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| Abstract: | Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems. The proposed synchronization approach in this paper shows that the synchronization between fractional-order chaotic systems and chaotic systems of integer orders can be achieved, and the synchronization between different fractional-order chaotic systems can also be realized. Numerical experiments show that the present method works very well. |
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| Keywords: | fractional-order chaotic systems chaotic systems of integer orders different fractional-order chaotic systems synchronization |
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