Modifying Lyapunov exponent of chaotic map by self-cascading  

作　　者：YI ChenLong LI ChunBiao LI YongXin XIA Ming HUA ZhongYun 

机构地区：[1]School of Electronic and Information Engineering,Nanjing University of Information Science&Technology,Nanjing 210044,China [2]School of Artificial Intelligence,Nanjing University of Information Science&Technology,Nanjing 210044,China [3]School of Computer Science and Technology,Harbin Institute of Technology Shenzhen Graduate School,Shenzhen 518055,China

出　　处：《Science China(Technological Sciences)》2024年第7期2203-2214,共12页中国科学（技术科学英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 61871230);a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions。

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.

关 键 词：self-cascade controllable self-cascade chaos enhancement chaos control 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]