A general method for synchronizing an integer-order chaotic system and a fractional-order chaotic system |
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Authors: | Si Gang-Quan Sun Zhi-Yong and Zhang Yan-Bin |
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Institution: | State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
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Abstract: | This paper investigates the synchronization between integer-order and fractional-order chaotic systems. By introducing fractional-order operators into the controllers, the addressed problem is transformed into a synchronization one among integer-order systems. A novel general method is presented in the paper with rigorous proof. Based on this method, effective controllers are designed for the synchronization between Lorenz systems with an integer order and a fractional order, and for the synchronization between an integer-order Chen system and a fractional-order Liu system. Numerical results, which agree well with the theoretical analyses, are also given to show the effectiveness of this method. |
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Keywords: | chaos synchronization integer-order chaotic system fractional-order chaotic system fractional calculus |
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