Rate of decay of stable periodic solutions of Duffing equations

被引：26

作者：

Chen, Hongbin

Li, Yi ^{[1
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Xian Jiaotong Univ, Dept Math, Xian 02982667909, Peoples R China

[3] Hunan Normal Univ, Dept Math, Changsha, Hunan, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 236卷 / 02期

关键词：

periodic solution; stability; rate of decay;

D O I：

10.1016/j.jde.2007.01.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the second-order equations of Duffing type. Bounds for the derivative of the restoring force are given that ensure the existence and uniqueness of a periodic solution. Furthermore, the stability of the unique periodic solution is analyzed; the sharp rate of exponential decay is determined for a solution that is near to the unique periodic solution. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：493 / 503

页数：11

共 9 条

[1] OPTIMAL INTERVALS OF STABILITY OF A FORCED OSCILLATOR [J].