混沌系统的一种新指数同步方法及其在保密通信中的应用*

为了探索出一种新的指数同步方法，在已有研究的基础上，将一种非线性系统的指数稳定定理与李亚谱诺夫稳定性定理相结合，设计出一种合理的非线性控制器，理论上严格分析了该方法的可行性。以超混沌Chen系统为例，利用该方法实现了两个超混沌Chen系统的指数同步，并且同步性能优越。同时，将该方法应用到保密通信中，仿真结果显示发送端的信号能在接收端很好地被恢复出来，从而表明了该方法的有效性且在保密通信中有一定的应用前景。

Exponential synchronization method of chaotic systems with application in secure communications

By combining a theorem of exponential stability of nonlinear systems and Lyapunov's stability theorem,this paper designed a reasonable nonlinear controller to achieve the exponential synchronization of two chaotic systems and perfor-mance was superior.Take hyperchaotic Chen system for example,applying the proposed method to secure communication,the signal in sender can be recovered from the receiver very well thus indicating the effectiveness of the method and the prospects in the secure communication.