说明：  本论文首先阐述了利用Duffing振子进行微弱信号检测的基本方法及具体实现方法，论证了根据系统相轨迹的变化来判断目标信号中是否含有周期信号的混沌振子检测方法。将Lyapunov特性指数作为一种定量的混沌判别方法应用到微弱信号混沌检测领域，分别研究了连续系统和时间序列的Lyapunov指数计算方法。
(his paper first discusses how to use the Duffing oscillator are the weak signal detection, the basic method and the realization methods, proved according to the change of the phase track system to judge whether a cycle of target signal of chaotic oscillator signal detection methods. Will Lyapunov characteristics as a quantitative index of chaotic identifying method applied to a weak signal detection field chaos, respectively, the continuous system and research of time sequence Lyapunov index calculation method. )