Henon映射周期点分在的混沌区

The Chaotic Region of Distribution of Period Points for the Henon Mapping

本文报道了应用ＰＣ机大量迭代计算找到的一个Ｈｅｎｏｎ映射周期点分布的混沌区，以及一些较长周期的周期环，参数取值范围为１．０≤ａ≤１．２，－０．５≤ｂ≤－０．４．根据混沈动力学的理论对所得到的结果进行分析，给出解释．

In this paper,a chaotic region of distribution of period points for the Henon mapping is found by using a PC computer, where the range of parameters used is 1. 0≤a≤ 1. 2 and - 0. 5 ≤b ≤- 0.4. We analyse the graphs of the parameter distribution and a few periodic ring according to the theory of the chaotic dynamical system, and give a brief explanation.