通过自级联修改混沌图的李亚普诺夫指数

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Science China Technological Sciences Pub Date : 2024-06-25 DOI:10.1007/s11431-023-2543-1

ChenLong Yi, ChunBiao Li, YongXin Li, Ming Xia, ZhongYun Hua

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引用次数: 0

摘要

自级联（SC）方法是一种有效的混沌增强技术，可以增加混沌图的复杂性。此外，可控自级联（CSC）方法可以更精确地控制离散图的李亚普诺夫指数。在这项工作中，推导出了原始图的 SC 和 CSC 系统，它们在保持原始图基本动态特性的同时增强了混沌性能。在 SC 和 CSC 系统中，可以得到频率较高的混沌序列所对应的较高的李亚普诺夫指数。同时，在CSC系统中，Lyapunov指数可以线性控制，具有更大的灵活性。基于CH32平台对数值模拟和理论分析进行了验证。

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Modifying Lyapunov exponent of chaotic map by self-cascading

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.

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来源期刊

Science China Technological Sciences ENGINEERING, MULTIDISCIPLINARY-MATERIALS SCIENCE, MULTIDISCIPLINARY

CiteScore

8.40

自引率

10.90%

发文量

4380

审稿时长

3.3 months

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.