Persistence of hyperbolic-type degenerate invariant tori with prescribed frequencies in reversible systems

被引：0

作者：

Qu, Ru ^{[1
]}

Xu, Junxiang ^{[1
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

来源：

NONLINEARITY | 2025年 / 38卷 / 01期

关键词：

reversible systems; KAM iteration; degenerate lower-dimensional tori; degenerate equilibrium points; STABILITY;

D O I：

10.1088/1361-6544/ad9b1c

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we focus on the persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in reversible systems. The proof is based on the stability analysis of minimal points of real analytic functions and the non-degeneracy brought by higher-order terms.

引用

页数：26

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