Quasi-periodic motions in strongly dissipative forced systems

被引：32
|
作者：
Gentile, Guido [1 ]
机构：
[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2010年 / 30卷
关键词：
BOREL SUMMABILITY; SERIES;
D O I：
10.1017/S0143385709000583
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a class of ordinary differential equations describing one-dimensional systems with a quasi-periodic forcing term and in the presence of large damping. We discuss the conditions to be assumed on the mechanical force and the forcing term for the existence of quasi-periodic solutions which have the same frequency vector as the forcing.
引用
收藏
页码：1457 / 1469
页数：13
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