Modifying Lyapunov exponent of chaotic map by self-cascading

被引：0

作者：

YI ChenLong ^{[1
,2
]}

LI ChunBiao ^{[1
,2
]}

LI YongXin ^{[1
,2
]}

XIA Ming ^{[1
,2
]}

HUA ZhongYun ^{[3
]}

机构：

[1] School of Electronic and Information Engineering, Nanjing University of Information Science & Technology

[2] School of Artificial Intelligence, Nanjing University of Information Science & Technology

[3] School of Computer Science and Technology, Harbin Institute of Technology Shenzhen Graduate

来源：

Science China(Technological Sciences) | 2024年 / 67卷 / 07期

关键词：

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The self-cascade(SC) method is an effective technique for chaos enhancement and complexity increasing in chaos maps.Additionally, the controllable self-cascade(CSC) method allows for more accurate control of Lyapunov exponents of the discrete map. In this work, the SC and CSC systems of the original map are derived, which enhance the chaotic performance while preserving the fundamental dynamical characteristics of the original map. Higher Lyapunov exponent of chaotic sequences corresponding to higher frequency are obtained in SC and CSC systems. Meanwhile, the Lyapunov exponent could be linearly controlled with greater flexibility in the CSC system. The verification of the numerical simulation and theoretical analysis is carried out based on the platform of CH32.

引用

页码：2203 / 2214

页数：12

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