Persistence of Multiscale Degenerate Invariant Tori in Reversible Systems with Degenerate Frequency Mapping

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Regular and Chaotic Dynamics Pub Date : 2024-08-04 DOI:10.1134/S1560354724040051

Xiaomei Yang, Junxiang Xu

引用次数: 0

Abstract

This paper considers a class of nearly integrable reversible systems whose unperturbed part has a degenerate frequency mapping and a degenerate equilibrium point. Based on some KAM techniques and the topological degree theory, we prove the persistence of multiscale degenerate hyperbolic lower-dimensional invariant tori with prescribed frequencies.

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具有退化频率映射的可逆系统中多尺度退化不变环的持续性

基于一些 KAM 技术和拓扑度理论，我们证明了具有规定频率的多尺度退化双曲低维不变环的持久性。

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

Regular and Chaotic Dynamics 物理-力学

CiteScore

2.50

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.