Logistic映射及其混沌序列特性分析

Analysis of Logistic map and chaotic sequence characteristics

提出了一种基于频谱特征分析Logistic映射工作状态的方法.首先,对典型Logistic迭代映射函数,在给定初值的情况下随参数μ变化得到不同的数值分布序列图和分岔图;其次,通过傅立叶变换得到Logistic映射的频谱特性,从频域弥补了时域分析中无法观测到的Logistic映射混沌特性;最后,通过对比分析表明Logistic映射的类随机性适合应用于保密通信领域.

A method which is used to analysis the status of the Logistic map based on spectral feature is proposed.Firstly,the different numerical distributions and bifurcation of typical Logistic which varies with parameters in the case of the given initial value are obtained;secondly,the frequency spectrum of Logistic is obtained by Fourier transform,which make up the defect of Logistic chaotic characteristics in the time domain analysis;finally,the genus randomness of Logistic is fit to secure communications by comparison and analysis.