Generalized projective synchronization of two chaotic systems by using active control

In this paper, an active control method is proposed to projective-synchronize two chaotic systems by constructing the response system no matter whether they are identical or not. The proposed technique is applied to achieve generalized projective synchronization for the Lorenz and Chen’s systems, where all state variables are in a proportional way. This property allows us to arbitrarily direct the scaling factor onto a desired value. Feasibility of the proposed control scheme is illustrated through the numerical examples.