Periodic Windows of a Chaotic Map with Infinite Collapses and the Test of Even Distribution

HE Di; HE Chen; JIANG Ling-ge; ZHU Hong-wen; HU Guang-rui

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Periodic Windows of a Chaotic Map with Infinite Collapses and the Test of Even Distribution

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- Periodic Windows of a Chaotic Map with Infinite Collapses and the Test of Even Distribution
- Acta Electronica Sinica Vol. 29, Issue 10, Pages: 1430-1432(2001)
- 作者机构：
  
  上海交通大学电子工程系,上海,200030
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN914
- Published：2001
- 稿件说明：
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HE Di, HE Chen, JIANG Ling-ge, et al. Periodic Windows of a Chaotic Map with Infinite Collapses and the Test of Even Distribution[J]. Acta Electronica Sinica, 2001, 29(10): 1430-1432.
DOI：

HE Di, HE Chen, JIANG Ling-ge, et al. Periodic Windows of a Chaotic Map with Infinite Collapses and the Test of Even Distribution[J]. Acta Electronica Sinica, 2001, 29(10): 1430-1432. DOI：

摘要

本文提出了一类具有较大Lyapunov指数的无限折叠一维迭代混沌映射

分析了它在分岔图中出现的主周期窗口位置与长度所具有的规律性

依此规律对参数作适当选取可产生较为理想的一维迭代混沌模型.通过检验它在迭代区间内的均匀分布特性

揭示了它比一般混沌系统具有更强的内随机性.

Abstract

A one-dimensional iterative chaotic map with infinite collapses which has bigger Lyapunov exponents is proposed.The locations and lengths of its periodic windows shown in bifurcation diagram are analyzed.Ideal chaotic model can be produced by selecting parameter of the map properly.The model proposed also has stronger inner randomicity after testing its even distribution characteristics.

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