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
收藏
页码：2435 / 2447
页数：13
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