The stability of a new Lü chaotic system with a sort of parameters

Implusive stabilzation for control and synchronization of chaotic systems can be applied in secure communication. Lü´s chaotic system is founded by Lü and chen in 2002 and its synchronization control theory can be the kernel technology in Lü´s chaos-based secure communication. In this paper we propose a scheme´s synchronization of Lü´s chaotic system with a special oscillating parameters under the impulsive control. We proved that two systems with a special oscillating parameters can get synchronized. The chaos-based secure communication system with high secure level can be designed based on this scheme.