Henan Institute of Science and Technology, Xinxiang, China

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Abstract—Based on the fractional calculus predictorcorrector algorithm and control design theory, generalized synchronization of dynamics of a chaotic system is investigated by linear or nonlinear feedback control, making the non-linear chaotic synchronization error system become linear systems, then synchronous controller was designed based on the stability theory of fractional linear systems [10], and the generalized synchronization of fractional order chaotic systems was fulfilled in different structures and the different order. The auxiliary system method is simple and effective. Detailed numerical results verify the effectiveness of our proposed new scheme.

Index Terms—Fractional order chaotic system, generalized synchronization, controller, predictor algorithm.

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Cite: Wenxian Xiao, Junhui Fu, Zhen Liu, Wenlong Wan, "Generalized Synchronization of Typical Fractional Order Chaos System," Journal of Computers vol. 7, no. 6, pp. 1519-1526, 2012.