Logistic混沌映射最低数字位5的特性研究

Research on the Characteristics of the Lowest Digit Position 5 of the Logistic Chaotic Map

吕志皓 宋大全 薛博文 王佳音 刘嘉辉

Logistic混沌映射最低数字位5的特性研究

Research on the Characteristics of the Lowest Digit Position 5 of the Logistic Chaotic Map

吕志皓 1宋大全 2薛博文 1王佳音 1刘嘉辉1
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作者信息

  • 1. 哈尔滨理工大学计算机科学与技术学院,黑龙江哈尔滨 150080
  • 2. 牡丹江师范学院学术理论研究中心,黑龙江 牡丹江15701 1
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摘要

Logistic混沌映射在真实轨道中迭代真值在最低数字位是5的时候,迭代真值高数字位部分表现出随机特性,迭代真值低数字位表现出线性递增的公共数字位.实验分析显示,在绝对精度条件下,混沌真实轨道保持随机性和公共部分稳定的结构特征,在有限精度条件下,迭代值随机性受计算精度影响很大,公共部分只能通过低位迭代法获取.

Abstract

The iterative real value of the Logistic chaotic map in true orbits exhibits obvious regularity when the lowest digit position is 5.The high digit part of its iterative real value shows random characteristics.The low digit part of its iterative real value represents a linearly increasing common digit positions.Experimental analysis shows that under absolute accuracy conditions,the chaotic real orbit keeps randomness and the structural characteristics of the common part are stable.Under finite accuracy conditions,the randomness of the iterative values is greatly affected by computational accuracy,and the common part can only be obtained through the iteration method with low positions.

关键词

Logistic/混沌映射/数字位/真实轨道

Key words

Logistic/chaotic map/digit position/true orbit

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基金项目

黑龙江省自然科学基金项目(LH2021F031)

出版年

2024
牡丹江师范学院学报(自然科学版)
牡丹江师范学院

牡丹江师范学院学报(自然科学版)

影响因子:0.426
ISSN:1003-6180
参考文献量3
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