Projective synchronization control for simplified Lorenz chaotic systems

To the simplified Lorenz chaotic system proposed recently,the synchronization issue of two simplified Lorenz chaotic systems with different initial conditions is investigated by applying projective synchronization and generalized function projective synchronization approach respectively.Based on Routh-Hurwitz stability criterion and Lyapunov stability principle,two synchronization theorems are deduced,and the range of control parameters is determined.The relations between the synchronization performances with the control parameters are discussed.Dynamic simulation results on Simulink show that it is effective for the projective synchronization methods.