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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。
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.
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.
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