一种基于Lü系统的混沌信号幅度控制方法

A Chaotic Signal Amplitude Control Method Applied to LüSystem

基于Lü系统提出了一种保持恒定Lyapunov指数的混沌信号幅度控制方法.分析了3种不同情况下的幅度控制,通过检查受控Lü系统的动力学特性,证明了引入的控制函数可以控制信号幅度,同时不改变系统的Lyapunov指数谱.该幅度控制方法既实现了信号幅度可控,又不改变系统的Lyapunov指数,可应用于含有二次方项的混沌系统方程组.

In this paper,a method of amplitude control over chaotic signals is applied to Lüsystem.Three different scenarios are fully discussed and analyzed.By examining the dynamical properties of the modified Lüsystems in detail,we prove that wherever control functions are introduced,the amplitude of the chaotic signals can be controlled without changing the Lyapunov exponent spectrum chaotic system equations containing square terms can be applied to this method.