Duffing混沌阈值的新定量求解法及其在WSD的应用

A New Quantitative Study of Solving Duffing Chaotic Threshold and Its Application in WSD

概述了求取Duffing系统阈值的3种传统方法,分析优缺点,最终提出一种新的求取混沌阈值的定量方法。这种方法能充分反映周期序列的振荡特征,因此,定义为周期特征量法。将该特征量作为混沌阈值可以明显区别混沌序列和周期序列,由此可以用于判断Duffing系统的输出状态,是一种优于其他方法的混沌判决。最后,仿真验证了该方法的可行性并应用于检测弱周期信号的有无及其幅值。

This paper describes the traditional three methods of sloving Duffing chaotic thresholds and analyzes the advantages and disadvantages of them,then ultimately proposes a new quantitative method. This method can fully reflect the oscillation characteristics of periodic sequences,therefore,this issue defined it as periodic characteristics quantity(PCQ)method which can distinguish the chaotic sequence and cycle sequence,this feature can be used to determine that the output of Duffing system is periodic or chaotic state,and it is better than the other chaos judgment methods. Finally,simulation validates the feasibility of the arithmetic,and then applies this method to the presence or absence of weak periodic signal detection and the amplitude calculation.