Quasi-periodic solutions and stability of the equilibrium for quasi-periodically forced planar reversible and Hamiltonian systems under the Bruno condition

被引：12
|
作者：
Hanssmann, Heinz [2 ]
Si, Jianguo [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
[2] Univ Utrecht, Inst Math, NL-3508 TA Utrecht, Netherlands
来源：
NONLINEARITY | 2010年 / 23卷 / 03期
基金：
中国国家自然科学基金;
关键词：
FIXED-POINTS; GERMS; DIFFEOMORPHISMS; LINEARIZATION;
D O I：
10.1088/0951-7715/23/3/007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the existence of quasi-periodic solutions of non-autonomous two-dimensional reversible and Hamiltonian systems under the Bruno condition. As an application we study the dynamical stability of the trivial solution at the origin of a quasi-periodically forced planar system. Under a mild non-degeneracy condition we give a criterion that is necessary and sufficient for a large class of systems.
引用
收藏
页码：555 / 577
页数：23
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