The stability of the equilibrium of planar Hamiltonian and reversible systems

被引：19

作者：

Liu, Bin ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2006年 / 18卷 / 04期

基金：

中国国家自然科学基金;

关键词：

stability of the equilibrium; Hamiltonian systems; reversible systems; quasi-periodic functions; invariant curves;

D O I：

10.1007/s10884-006-9027-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the stability of the equilibrium of planar systems x' = X (x, y, t), y' = Y(x, y, t), where X and Y are real analytic in x, y, and t, and quasi-periodic in t with frequencies (omega(1),...omega(n)). Under some reasonable assumptions. we obtain a sufficient and necessary condition.

引用

页码：975 / 990

页数：16

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