The synchronization of chaos of the two identical chaotic motions of the Japanese attractor has been studied. First, the stability of the chaos synchronization of the systems is investigated by Liapunov’s direct method. Some sufficient conditions of globa The synchronization of chaos of the two identical chaotic motions of the Japanese attractor has been studied. First, the stability of the chaos synchronization of the systems is investigated by Liapunov’s direct method. Some sufficient conditions of globa