非线性振荡信号与用于复杂系统分析的N级倍周期演化频谱变换

Nonlinear oscillating Signals and the Transformation of the N-stage Multipleperiodic Evolving Spectrum Usedon the Analysis of Complex Systems

本文根据非线性电路方面的有关实验结果，利用混沌动力学中的Ｆｅｉｇｅｎｂａｕｍ等比关系，提出关于ｎ级分频（ｆ／Ｚ（ｎ））信号的三个原理，进而提出与混沌电路的非线性振荡信号有关的Ｎ级倍周期演化频谱及其Ｆｏｕｒｉｅｒ变换，从而为复杂系统分析提供一种新的理论方法。

According to the experiment results on nonlinear circuits,and using Feigenbaum's geometric relations in chaos-dynamics,this paper puts forth three principles about the N-stage di-viding frequency(f/Z(n))signals.and gives the N-stage multipleperiodic evolutive spoctrum and its Fourier transform.