混沌吸引子统计特性的一种分析方法

An Approach to Some Statistical Properties of Chaotic Attractors

基于混沌吸引子的细胞模型 ,本文提出分析混沌吸引子统计特性的一种方法 .这一方法可给出各类周期轨道的直方图 ,从而详细地描述混沌吸引子并得到其主要参数 .利用分析所得信息可找到“热引子”以及混沌吸引子之间的差别 .

Presented in this paper is a new approach to some statistical properties of chaotic attractors on the basis of the cell model of chaotic attractors. The approach can give histograms for different types of periodic orbits and provide detailed description and main parameters of a chaotic attractor. The information obtained is useful in finding hot sub attractors and the differences among the chaotic attractors. Besides, the histograms for chaotic attractors of Rossler's equation and Chua's circuit are given respectively.