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
收藏
页码：493 / 503
页数：11
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