奇异非混沌吸引子上有限时间Lyapunov正指数的概率

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/dcds.2023132

Flavia Remo, Gabriel Fuhrmann, Tobias Jäger

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引用次数: 1

摘要

我们研究了一类被称为紧缩斜积的拟周期强迫单调区间映射中的奇异非混沌吸引子。我们证明了相对于吸引子上的唯一物理测度的正时间- $ N $ Lyapunov指数的概率呈指数衰减为$ N\to \infty $。这项工作的动机来自有限时间李雅普诺夫指数的研究，作为强迫动力学背景下关键转变的可能预警信号。

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On the probability of positive finite-time Lyapunov exponents on strange nonchaotic attractors

We study strange non-chaotic attractors in a class of quasiperiodically forced monotone interval maps known as pinched skew products. We prove that the probability of positive time-$ N $ Lyapunov exponents—with respect to the unique physical measure on the attractor—decays exponentially as $ N\to \infty $. The motivation for this work comes from the study of finite-time Lyapunov exponents as possible early-warning signals of critical transitions in the context of forced dynamics.

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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.