A perturbation method to the tent map based on Lyapunov exponent and its application

被引：2

作者：

曹绿晨 ^{[1
]}

罗玉玲 ^{[1
]}

丘森辉 ^{[1
]}

刘俊秀 ^{[2
]}

机构：

[1] Guangxi Key Laboratory of Multi-source Information Mining & Security,Faculty of Electronic Engineering,Guangxi Normal University

[2] School of Computing and Intelligent Systems,University of Ulster

来源：

Chinese Physics B | 2015年 / 10期

关键词：

perturbation; tent map; Lyapunov exponent; finite precision;

D O I：

暂无

中图分类号：

O415.5 [混沌理论];

学科分类号：

070201 ;

摘要：

Perturbation imposed on a chaos system is an effective way to maintain its chaotic features. A novel parameter perturbation method for the tent map based on the Lyapunov exponent is proposed in this paper. The pseudo-random sequence generated by the tent map is sent to another chaos function — the Chebyshev map for the post processing. If the output value of the Chebyshev map falls into a certain range, it will be sent back to replace the parameter of the tent map. As a result, the parameter of the tent map keeps changing dynamically. The statistical analysis and experimental results prove that the disturbed tent map has a highly random distribution and achieves good cryptographic properties of a pseudo-random sequence. As a result, it weakens the phenomenon of strong correlation caused by the finite precision and effectively compensates for the digital chaos system dynamics degradation.

引用

页码：82 / 89

页数：8

共 3 条

[1] Digital chaotic sequence generator based on coupled chaotic systems[J]. 刘树波,孙婧,徐正全,刘金硕. Chinese Physics B. 2009(12)
[2] A new perturbation method to the Tent map and its application[J] . Wang Xing-Yuan,Wang Lin-Lin. Chinese Physics B . 2011 (5)
[3] A method of improving the properties of digital chaotic system[J] . Hanping Hu,Ya Xu,Ziqi Zhu. Chaos, Solitons and Fractals . 2006 (2)

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