基于逻辑斯谛映射的三参数混沌动力学系统的行为特性

Behavioral of Chaos Dynamic System with Three Parameters Based on Logistics Map

基于逻辑斯谛映射的三参数混沌动力学系统为xn + 1=μxn(1-xλn) +c。本文讨论了λ∈(0 ,1) ,μ∈ (0 ,μλ) ,0 <|c|<1条件下该系统的行为特性。在用计算机模拟 - 1<c <0条件下该系统的行为时 ,发现了嵌入周期一轨道中的混沌动力学过程。该过程显现出一种通向混沌的新途径 ,混沌区内部具有特殊的秩序结构。

Thechaos dynamic system with three parameters based on Logistics map is x n+1 =μx n(1-x λ n)+c .This paper discussed the behavioral of the above system under the condition for λ∈(0,1),μ∈(0,μ λ),0<|c|<1 .Simulating the behavioral under the condition -1<c<0 by means of computer,it is found that chaos dynamic course is inserted into the track of period one.This course shows a new way into chaos and there is special order of structure in chaos area.