ChenLong Yi, ChunBiao Li, YongXin Li, Ming Xia, ZhongYun Hua
{"title":"Modifying Lyapunov exponent of chaotic map by self-cascading","authors":"ChenLong Yi, ChunBiao Li, YongXin Li, Ming Xia, ZhongYun Hua","doi":"10.1007/s11431-023-2543-1","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":21612,"journal":{"name":"Science China Technological Sciences","volume":"206 1","pages":""},"PeriodicalIF":4.4000,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science China Technological Sciences","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s11431-023-2543-1","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍：
Science China Technological Sciences, an academic journal cosponsored by the Chinese Academy of Sciences and the National Natural Science Foundation of China, and published by Science China Press, is committed to publishing high-quality, original results in both basic and applied research.
Science China Technological Sciences is published in both print and electronic forms. It is indexed by Science Citation Index.
Categories of articles:
Reviews summarize representative results and achievements in a particular topic or an area, comment on the current state of research, and advise on the research directions. The author’s own opinion and related discussion is requested.
Research papers report on important original results in all areas of technological sciences.
Brief reports present short reports in a timely manner of the latest important results.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
