混沌系统周期轨道的统计特性研究

Some Statistical Properties of Chaotic Periodic Orbits

根据混沌吸引子的细胞模型理论，从混沌系统周期轨道的相空间上考虑，提出了一种对周期轨道进行分类统计的算法，并用此算法对Ｒｏｓｓｌｅｒ方程和Ｃｈｕａ＇ｓ电路进行了周期轨道统计特性的仿真研究，验证了该算法的合理性、可行性。

A new approach to some statistical properties of the chaotic attractors is presented, based on the cell model of the chaotic attractor. The approach allows to give the histograms for different types of periodic orbits, which can provides a detailed description and main parameters of a chaotic attractor. The histograms for chaotic attractors of Rossler's equation and Chua's circuit are given, respectively.