Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems) |
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| Authors: | Zhou Ping Cheng Yuan-Ming Kuang Fei |
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| Affiliation: | 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 |
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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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