Dual projective synchronization between integer-order and fractional-order chaotic systems

In this article, based on tracking control strategy and the stability theory of the fractional differential equation, a new controller has been designed to realize the dual projective synchronization (DPS) between integer-order and fractional-order chaotic systems. The proposed method is respectively applied to dual projective synchronization of the following two pairs of chaotic systems: Sprott-Lü and Liu-Chen chaotic systems. The numerical simulations verify the correctness and effectiveness of the strategy.