A Fractional-Order Chaotic Circuit Based on Memristor and Its Generalized Projective Synchronization

In this paper, we generalize the integer-order chua circuit model based on memristor into the fractional-order domain. The new fractional-order circuit can generate complex chaotic behavior. Based on the stability theory of fractional-order systems and active control, a controller for the synchronization of two commensurate fractional-order chaotic memristor based circuit is designed. This technique is applied to achieve generalized projective synchronization (GPS) between the fractional-order chaotic circuit. Numerical results demonstrate the effectiveness and feasibility of the proposed control technique.