Abstract:This paper studied the chaotic synchronization of a new chaotic system Liu chaotic system. Based on the Lyapunov stable theory, linear single variable and multivariable feedback control methods were given. The two methods can both achieve chaotic synchronization of Liu chaotic system efficiently. Compared with nonlinear controls, the two linear controls have simpler structures and can be obtained more easily. Finally, the numerical simulation results verified the effectiveness of the two methods.