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

共 50 条

[31] ON THE PERSISTENCE OF LOWER-DIMENSIONAL ELLIPTIC TORT WITH PRESCRIBED FREQUENCIES IN REVERSIBLE SYSTEMS
Wang, Xiaocai
Xu, Junxiang
Zhang, Dongfeng
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (03) : 1677 - 1692
[32] General KAM Theorems and their Applications to Invariant Tori with Prescribed Frequencies
Xu, Junxiang
Lu, Xuezhu
REGULAR & CHAOTIC DYNAMICS, 2016, 21 (01): : 107 - 125
[33] General KAM theorems and their applications to invariant tori with prescribed frequencies
Junxiang Xu
Xuezhu Lu
Regular and Chaotic Dynamics, 2016, 21 : 107 - 125
[34] Invariant tori for semilinear reversible systems
Li, X
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (01) : 133 - 146
[35] A New KAM Theorem for the Hyperbolic Lower Dimensional Tori in Reversible Systems
Wang, Xiaocai
Xu, Junxiang
Zhang, Dongfeng
ACTA APPLICANDAE MATHEMATICAE, 2016, 143 (01) : 45 - 61
[36] Persistence of Lower Dimensional Tori for a Class of Nearly Integrable Reversible Systems
Wang, Xiaocai
Zhang, Dongfeng
Xu, Junxiang
ACTA APPLICANDAE MATHEMATICAE, 2011, 115 (02) : 193 - 207
[37] On Elliptic Lower-Dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems with Small Parameters
Zou, Hanru
Xu, Junxiang
REGULAR & CHAOTIC DYNAMICS, 2024, 29 (04): : 583 - 604
[38] Persistence of elliptic invariant tori for Hamiltonian systems
Huang, QD
Cong, FZ
Li, Y
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (02) : 241 - 260
[39] LOWER-DIMENSIONAL INVARIANT TORI FOR A CLASS OF DEGENERATE REVERSIBLE SYSTEMS UNDER SMALL PERTURBATIONS
Yang, Xiaomei
Xu, Junxiang
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2025, 153 (01) : 259 - 267
[40] ON QUASI-PERIODIC PERTURBATIONS OF HYPERBOLIC-TYPE DEGENERATE EQUILIBRIUM POINT OF A CLASS OF PLANAR SYSTEMS
Xu, Junxiang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (06) : 2593 - 2619

← 1 2 3 4 5 →