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Function projective synchronization for fractional-order chaotic systems. (English) Zbl 1209.34065
Summary: This letter investigates the function projective synchronization between fractional-order chaotic systems. Based on the stability theory of fractional-order systems and tracking control, a controller for the synchronization of two fractional-order chaotic systems is designed. This technique is applied to achieve synchronization between fractional-order Lorenz systems of different orders, and achieve synchronization between the fractional-order Lorenz system and the fractional-order Chen system. Numerical simulations demonstrate the validity and feasibility of the proposed method.
MSC:
34D06Synchronization
34A08Fractional differential equations
34H05ODE in connection with control problems
34C28Complex behavior, chaotic systems (ODE)
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