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A specific state variable for a class of 3D continuous fractional-order chaotic systems |
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| Authors: | Zhou Ping Cheng Yuan-Ming Kuang Fei |
| Affiliation: | Key Laboratory of Network Control & 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 |
| Abstract: | A specific state variable in a class of 3D continuous fractional-order chaotic systems is presented. All state variables of fractional-order chaotic systems of this class can be obtained via a specific state variable and its (q-order and 2q-order) time derivatives. This idea is demonstrated by using several well-known fractional-order chaotic systems. Finally, a synchronization scheme is investigated for this fractional-order chaotic system via a specific state variable and its (q-order and 2q-order) time derivatives. Some examples are used to illustrate the effectiveness of the proposed synchronization method. |
| Keywords: | fractional-order chaotic systems state variable q-order and 2q-order time derivatives chaotic synchronization |
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