理性记忆图谱中隐藏的奇异非混沌吸引子的出现

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-12 DOI:10.1142/s0218127424500172

Premraj Durairaj, Sathiyadevi Kanagaraj, Zhigang Zheng, Anitha Karthikeyan, Karthikeyan Rajagopal

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引用次数: 0

摘要

为了举例说明隐藏奇异非混沌吸引子（HSNAs）的存在和过渡机制，我们考虑了一个带有附加力的理性记忆图。我们发现，在控制参数的作用下，四正弦通过环倍增分叉为八正弦。随后，当控制参数增大时，会形成奇怪的非混沌吸引子。因此，所建议的有理映射显然是通过HSNAs经由环倍增到环崩溃的路径到达隐藏的混沌吸引子的。利用分岔分析和最大 Lyapunov 指数进一步验证了所获得的动力学转换。特别是，所获得的 HSNA 通过不同的统计量（包括 0-1 检验和奇异连续谱）得到了证实。

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Emergence of Hidden Strange Nonchaotic Attractors in a Rational Memristive Map

To exemplify the existence of hidden strange nonchaotic attractors (HSNAs) and transition mechanism, we consider a rational memristive map with additional force. We find that the four-torus bifurcates into the eight-torus through torus doubling as a function of the control parameter. Following that, the formation of strange nonchaotic attractors occurs when increasing the control parameter. As a result, it is clear that the suggested rational maps reach hidden chaotic attractors via HSNAs through the route of torus doubling to torus breakdown. The obtained dynamical transitions are validated further using bifurcation analysis and the largest Lyapunov exponents. In particular, the obtained HSNAs are confirmed through distinct statistical measures including 0–1 test and singular continuous spectrum.

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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.