Abstract: In order to solve the control problem of chaotic system in the secure communication, we calculated and analyzed dissipative property of the dissipative function, and proved the chaos by the Lyapunov exponent. According to the RouthHurwitz criterion, the stability of the equilibrium point was analyzed. The phase diagram wass simulated by using MATLAB. The results show that the system has rich dynamic characteristics and is not similar to the Lorenz system topology. The chaotic phenomena of the system can be controlled and eliminated by the differential feedback control method, and the new system can be periodically controlled by the x|x| control method to make the periodic state and chaos alternate.

Key words: secure communication, dynamic analysis, chaos control, x control