混沌系统设计中的基频变换及不可预测性估计算法

本文研究了混沌产生器设计中的两个重要的计算问题。文中基于混沌吸引子周期轨道理论的频域分析概念和矩阵分析原理提出了一种混沌系统基波频率变换方法。基于该方法对Lorenz和Chua系统分别进行了不同基频硬件电路参数设计，并对所产生信号频谱进行了测试，实验结果验证了所提出基频变换方法的正确性。另外，深入讨论了混沌系统不可预测性的检测方法，通过对所设计电路的不可预测性强弱的分析，表明所提出的改进计算式提高了比较不同混沌系统时的评估准确度。

Fundamental Frequency Change and unpredictability estimation algorithm of Chaotic Systems

Two important caculation problems of chaos generation design are studied in this paper. Based on the concept of frequency analysis in periodic orbit theory and matrix principle, a method of changing fundamental frequency of chaotic systems is put forward. Lorenz and Chua Circuits parameters are designed and frequency spectrums are tested with oscilloscope. The experimental results show the method is effective. Also unpredictability estimation algorithm of chaotic systems is discussed. A improved formula for regression frequency caculation is put forward. Analyzed of the circuits we designed illustrates the new formalu can improve the unpredictability estimation accuracy of different chaotic systems.