PERSISTENCE OF DEGENERATE HYPERBOLIC LOWER-DIMENSIONAL INVARIANT TORI IN HAMILTONIAN SYSTEMS WITH BRUNO'S CONDITIONS

被引：0

作者：

Yang, Xiaomei ^{[1
]}

Xu, Junxiang ^{[2
]}

机构：

[1] Jinling Inst Technol, Coll Sci, Nanjing 211169, Peoples R China

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Hamiltonian system; KAM iteration; non-degeneracy condition; de-generate equilibrium point; RESPONSE SOLUTIONS; BIFURCATIONS;

D O I：

10.1090/proc/16184

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proves the persistence of degenerate hyperbolic lower dimensional invariant tori in Hamiltonian systems with Bruno non-degeneracy conditions, whose frequency vector is a small dilation of the prescribed one. The proof is based on the stability of real roots of approximating real odd-order polynomials.

引用

页码：2435 / 2447

页数：13

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