Quasi-periodic solutions of forced isochronous oscillators at resonance

被引：21

作者：

Liu, Bin ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Isochronous oscillators; Repulsive singularity; Invariant curves; Quasi-periodic solutions; Lazer-Landesman conditions; Boundedness of solutions; BOUNDEDNESS; EQUATIONS;

D O I：

10.1016/j.jde.2009.02.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with the existence of quasi-periodic Solutions of forced isochronous oscillators with a repulsive singularity, the nonlinearity is a bounded perturbation. Using a variant of Moser's twist theorem of invariant curves, due to Ortega [R. Ortega, Boundedness in a piecewise linear oscillator and a variant of the small twist theorem, Proc. London Math. Soc. 79 (1999) 381-413], we show that there are Many quasi-periodic Solutions and the boundedness of all Solutions. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：3471 / 3495

页数：25

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