Asymptotic approximations of first integrals for a nonlinear oscillator

被引：6
|
作者：
Waluya, SB [1 ]
van Horssen, WT [1 ]
机构：
[1] Delft Univ Technol, Fac Informat Technol & Syst, Dept Appl Math Anal, NL-2628 CD Delft, Netherlands
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 08期
关键词：
integrating factor; integrating vector; first integral; perturbation method; asymptotic approximation of first integral;
D O I：
10.1016/S0362-546X(01)00900-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The perturbation method based on integrating factors was used to approximate first integrals for Rayleigh oscillators. It was shown that the existence and stability of time-periodic solutions can be deduced from the approximation of the first integrals. This method could also be applied to other nonlinear oscillator equations that were integrable when the small parameter was zero.
引用
收藏
页码：1327 / 1346
页数：20
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