Local stability and topological structure of completely integrable differential systems

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-24 DOI:10.1016/j.nonrwa.2024.104172

Yantao Yang , Xiang Zhang , Zhiyu Wang

引用次数: 0

Abstract

Completely integrable systems are dynamically simple in common sense, but they may have complicated dynamics around the points where their first integrals are not functionally independent. Tudoran in 2017 provided a criterion for characterizing stability of nondegenerated regular singularities of completely integrable systems. Here we present a new criterion which is more useful than that by Tudoran, in the sense that the cases that his criterion works on are also applicable to ours, whereas there are cases that our criterion works on but his does not.

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完全可积分微分系统的局部稳定性和拓扑结构

完全可积分系统在常识上是动力学简单的，但在其第一积分不函数独立的点附近，它们可能具有复杂的动力学。Tudoran 在 2017 年提出了表征完全可积分系统非退化正则奇点稳定性的准则。在这里，我们提出了一个比 Tudoran 的标准更有用的新标准，即他的标准适用的情况也适用于我们的标准，而有些情况我们的标准适用，但他的标准不适用。

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.