一种具有隐吸引子和平衡线的记忆混沌系统

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-08-16 DOI:10.24200/sci.2023.61440.7307

Zhen Wang, Sridevi Sriram, Huaigu Tian, Karthikeyan Rajagopal

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引用次数: 0

摘要

本文介绍了一种新设计的四维记忆混沌系统。从系统动力学有一个正李雅普诺夫指数的发现来看，新振荡器是混沌的。同时，根据平衡点分析的结果，表明该振子存在一条平衡点线，因此该系统的吸引子是隐藏的。此外，还对该系统的能量耗散、功率谱和poincarcars截面进行了研究，探讨了系统的动力学特性。利用分岔图、李雅普诺夫指数谱、近似熵和引力盆地等方法研究了该系统的复杂特征。

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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A Novel Memristive Chaotic System with Hidden Attractors and a Line of Equilibria

This paper introduces a newly designed four-dimensional memristive chaotic system. The novel oscillator is chaotic regarding the findings that the system’s dynamic has one positive Lyapunov exponent. Also, due to the results of the equilibrium points analysis, it is shown that the oscillator has a line of equilibria, so the attractors of this system are hidden. Moreover, the study of energy dissipation of this system, power spectrum, and Poincaré sections are conducted to investigate the system's dynamics. The complex features of this system are investigated with the aid of bifurcation diagrams, Lyapunov exponents spectra, approximate entropy, and basin of attraction.

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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.