黄慧芳2,,,
柴宏玉1
1.北京科技大学数理学院 ??北京 ??100083
2.厦门大学嘉庚学院信息科学与技术学院 ??漳州 ??363105
基金项目:中央高校基本科研业务费专项基金(06108236)
详细信息
作者简介:臧鸿雁：女，1973年生，副教授，研究方向为非线性系统统同步理论与混沌密码学
黄慧芳：女，1991年生，讲师，研究方向为混沌密码学
柴宏玉：女，1990年生，硕士生，研究方向为非线性系统统同步理论与混沌密码学
通讯作者:黄慧芳 13661363592@163.com
中图分类号:TN918.1计量
文章访问数:1382
HTML全文浏览量:567
PDF下载量:44
被引次数:0
出版历程
收稿日期:2018-07-19
修回日期:2019-01-17
网络出版日期:2019-02-14
刊出日期:2019-07-01
Homogenization Method for the Quadratic Polynomial Chaotic System
Hongyan ZANG1,Huifang HUANG2,,,
Hongyu CHAI1
1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
2. School of Information Science and Technology, Xiamen University Tan Kah Kee College, Zhangzhou 363105, China
Funds:The Fundamental Research Funds for the Central Universities of China (06108236)
摘要
摘要:该文给出了一般的2次多项式混沌系统与Tent映射拓扑共轭的充分条件，并依据该条件，给出了一类2次多项式混沌系统及其概率密度函数；进一步得到了能够将这类系统均匀化的变换函数；给出了一个新的2次多项式混沌系统并进行均匀化处理，对其产生的序列进行了信息熵、Kolmogorov熵和离散熵分析，结果显示该均匀化方法的均匀化效果显著且不改变序列混沌程度。
关键词:混沌系统/
均匀化/
拓扑共轭/
熵
Abstract:A sufficient condition for general quadratic polynomial systems to be topologically conjugate with Tent map is proposed. Base on this condition, the probability density function of a class of quadratic polynomial systems is provided and transformations function which can homogenize this class of chaotic systems is further obtained. The performances of both the original system and the homogenized system are evaluated. Numerical simulations show that the information entropy of the uniformly distributed sequences is closer to the theoretical limit and its discrete entropy remains unchanged. In conclusion, with such homogenization method all the chaotic characteristics of the original system is inherited and better uniformity is performed.
Key words:Chaotic system/
Homogenization/
Topologically conjugate/
Entropy
PDF全文下载地址:
https://jeit.ac.cn/article/exportPdf?id=47de50df-2535-4f52-89ec-547c97aeed14
