周期性扰动系统的小噪声诱导嬗变

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-26 DOI:10.1137/23m1567308

Ying Chao, Jinqiao Duan, Pingyuan Wei

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引用次数: 0

摘要

SIAM 应用动力系统期刊》第 23 卷第 1 期第 961-981 页，2024 年 3 月。摘要这项工作致力于研究噪声诱发的周期驱动系统的罕见转变。为了揭示过渡机制，通常需要寻找最大似然路径（MLPs）。我们的研究表明，在适当条件下，可变周期状态之间的 MLPs 可以持续到一个小的非自主强迫。此外，我们还获得了近似过渡率变化的闭式显式表达式。它们是基于欧拉-拉格朗日方程的标准扰动技术、梅尔尼科夫理论以及线性理论计算得到的。我们的方法为详细了解一般系统中周期性强迫和噪声之间的相互作用指明了道路。

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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Small-Noise-Induced Metastable Transition of Periodically Perturbed Systems

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 961-981, March 2024.
Abstract. This work is devoted to investigating the noise-induced rare transition of periodically driven systems. The maximum likelihood paths (MLPs) are often sought, in order to reveal the transition mechanism. We show that MLPs between metastable periodic states could persist to a small nonautonomous forcing under appropriate conditions. Furthermore, we obtain a closed-form explicit expression for approximating the transition rate change. They are obtained based on standard perturbation techniques for the Euler–Lagrange equation, the Melnikov theory, as well as a linear-theory calculation. Our methods indicate a route for a detailed understanding for the interaction between periodic forcing and noise in rather general systems.

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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.