一种三维混沌系统的混沌同步研究

Research on chaos synchronizations for a three dimensional chaotic system

混沌同步在保密通信领域有着广阔的应用前景,但要实现混沌保密通信,位于接收端和发送端的两个混沌系统必须达到混沌同步。为此,采用简单的线性反馈控制实现了一个新三维混沌系统的混沌同步控制,并应用Lyapunov稳定性理论,证明了两个混沌系统在线性反馈控制下实现混沌同步的条件。根据这些同步条件,只要给定系统参数值,就能够判断两个混沌系统是否能够达到混沌同步;另一方面,也可以根据这些判据来选取实现混沌同步的系统参数。最后,进行了计算机仿真,验证了所得到的同步条件是有效的。

Chaos synchronization has a broad prospect in the field of secure communication.In order to achieve secure chaotic communication,the two chaotic systems located at the receiving end and the sending end must achieve chaotic synchronization.Therefore,a simple linear feedback control was adopted to realize the chaotic synchronization control of a novel three-dimensional chaotic system.It was proven by Lyapunov stability theory that two chaotic systems can achieve synchronization under what conditions.On one hand,according to these synchronization conditions,as long as the systems′parameter values were given,one can judge whether two chaotic systems can achieve chaos synchronization.On the other hand,one can also select the parameters to ensure that two chaotic systems should achieve chaos synchronization.Finally,a computer simulation was presented to confirm that the synchronization conditions obtained are effective.