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

被引：0
作者：
Yang, Xiaomei [1 ,2 ]
Xu, Junxiang [3 ]
机构：
[1] Jinling Inst Technol, Coll Sci, Nanjing 211169, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[3] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 05期
基金：
中国博士后科学基金;
关键词：
Reversible system; KAM iteration; Invariant tori; Degenerate equilibrium point; RESPONSE SOLUTIONS; EQUILIBRIUM-POINT;
D O I：
10.1007/s12346-024-01108-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：18
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