Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-10-13 DOI:10.1515/ijnsns-2021-0393

X. Jiang, Jianhao Li, Bo Li, Wei-shuai Yin, Li Sun, Xiangyong Chen

引用次数: 13

Abstract

Abstract This paper discusses the complex dynamic behavior of a novel chaotic system, which was firstly established by introducing a memristor into a similar Chen’s system. Then by choosing a as the key parameter, we analyze the stability of memristor system based on eigenvalue theory. It is also found that when a cross some critical values, the system can exhibit Neimark–Sacker bifurcation and chaos behaviors. Some numerical simulations including phase diagrams and maximum Lyapunov exponent graph of the memristor-based systems are presented to verify the existence of chaos attractors. Finally, to make the results of this paper useful in the actual situation, such as the design of chaos security algorithm, analog electronic circuit of memristor chaotic system is designed.

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一种新的四维忆阻器系统的分岔、混沌和电路实现

摘要本文讨论了一个新的混沌系统的复杂动力学行为，该系统是通过在类似的Chen系统中引入忆阻器而首次建立的。然后选择a作为关键参数，基于特征值理论对忆阻器系统的稳定性进行了分析。研究还发现，当一个系统越过一些临界值时，系统会表现出Neimark–Sacker分岔和混沌行为。通过对基于忆阻器的系统的相图和最大李雅普诺夫指数图等数值模拟，验证了混沌吸引子的存在性。最后，为了使本文的结果在实际情况中有用，例如混沌安全算法的设计，设计了忆阻器混沌系统的模拟电子电路。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.