可逆系统中的非扭曲退化低维不变环的持续性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-23 DOI:10.1007/s12346-024-01108-7

Xiaomei Yang, Junxiang Xu

引用次数: 0

摘要

本文考虑了近可积分可逆系统，其未扰动部分具有退化平衡点和退化频率映射。基于拓扑度理论和一些 KAM 技术，我们证明了具有规定频率的非扭曲低维不变环在小扰动下持续存在。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Persistence of the Non-twist Degenerate Lower Dimensional Invariant Torus in Reversible Systems

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Persistence of the Non-twist Degenerate Lower Dimensional Invariant Torus in Reversible Systems

In this paper, we consider nearly integrable reversible systems, whose unperturbed part has a degenerate equilibrium point and a degenerate frequency mapping. Based on the topological degree theory and some KAM techniques, we prove that the non-twist lower dimensional invariant torus with prescribed frequencies persists under small perturbations.

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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.