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

页码：1457 / 1469

页数：13

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