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.


34D06 Synchronization of solutions to ordinary differential equations
34A08 Fractional ordinary differential equations
34H05 Control problems involving ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
Full Text: DOI


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