Logistic映射分岔图局部放大的计算机模拟  

COMPUTER SIMULATION FOR THE PARTIAL ENLARGEMENT OF BIFURCATION DIAGRAMS OF THE LOGISTIC MAP

作　　者：李道全[1] 胡其图[1] 张小灵[1] 邓晓[1] 

机构地区：[1]上海交通大学物理系,上海200240

出　　处：《物理与工程》2006年第3期25-28,50,共5页Physics and Engineering

摘　　要：本文介绍了一种实现Logistic映射分岔图局部放大的计算机模拟方法,对Logistic映射分岔图上任意局部范围可实现109以上的放大,便于观察Logistic映射分岔图混沌区内的精细结构,该方法实现的计算机模拟过程响应速度快,可实时产生Logistic模型分岔图局部放大的计算机模拟图像,适合于课堂教学计算机模拟实时演示.The method of computer simulation for the partial enlargement of bifurcation diagram of the logistic map is illustrated. The amplification ratio could be more than 10^9 at any position of the diagram, so it is convenient to observe the fine structures in chaotic regions of bifurcation diagrams of the Logistic map. Because of high responding rapidness, the partial enlarged images of bifurcation diagrams of Logistic map could be produced by this method of computer simulation in real time, which could be applied in class teaching of real-time computer simulation.

关 键 词：LOGISTIC映射 分岔图 局部放大 混沌 计算机模拟 

分 类 号：O415.5[理学—理论物理]