摘要
主要讨论了强非线性拟保守自治系统+g(x)=εf(x,)的近似周期解及其稳定性,并应用以能量函数为基础的摄动法,分析了两个强非线性方程的近似周期解.实例表明,该摄动法不仅有效而且结果精度较高.
The article mainly discuss the existence and the stability of the approximate periodic solutions for strongly nonlinear quasi-conservative autonomous systems x ＋ g（x） = εf（ x, x ）. Furthermore it analyzes the approximate periodic solutions of two strong nonlinear equations by the perturbation method. Examples show that the perturbation method is both effective and high accurate for strongly nonlinear quasi-conservative autonomous systems.
出处
《钦州学院学报》
2008年第3期20-23,共4页
Journal of Qinzhou University
基金
广西教育厅科研基金资助(200708LX163)
关键词
摄动法
强非线性拟保守自治系统
小参数方程
近似周期解
稳定性
perturbation method
strongly nonlinear quasi-conservative autonomous system
equation with small parameter
the approximate periodic solution
stability
