| 一类耦合强非线性系统的近似解 |
| |
| 引用本文： | 李克安,李杭一.一类耦合强非线性系统的近似解[J].湖南理工学院学报,2006,19(4):70-73. |
| |
| 作者姓名： | 李克安 李杭一 |
| |
| 作者单位： | 湖南理工学院机械与电气工程系 湖南岳阳414000(李克安)，澳大利亚卧龙岗大学信息学院 悉尼WollongongNSW2522Australia(李杭一) |
| |
| 基金项目： | 国家高技术研究发展计划(863计划) |
| |
| 摘 要： | 利用MLP方法对一类耦合的强非线性系统进行研究。首先通过参数变换、将耦合的强非线性系统变换为弱非线性系统,然后再摄动展开和逐个求解撮动方程,获得了系统的近似解析解。最后绘制了两个系统的时间历程曲线和相轨线。该求解方法可以推广应用到其它的多自由度强非线性系统,求耦合系统的近似解析解、分析系统的极限环和Hopf分岔。
|
| 关 键 词： | 强非线性系统 近似解 极限环 |
| 文章编号： | 1672-5298（2006）04-070-04 |
| 收稿时间： | 2006-05-08 |
| 修稿时间： | 2006年5月8日 |
Approximate solution of a class of coupling nonlinear systems |
| |
| LI Ke-an,LI Hang-yi.Approximate solution of a class of coupling nonlinear systems[J].Journal of Hunan Institute of Science and Technology,2006,19(4):70-73. |
| |
| Authors: | LI Ke-an LI Hang-yi |
| |
| Abstract: | Using MLP method, a class of coupling nonlinear system was studied. Firstly, through the transformation of parameters, the strong nonlinear system of coupling was changed to weak nonlinear system. And then to solve perturbation equation one by one, the approximate analytical solution of the system was obtained. Finally, the time course of the curve and the corresponding trajectory were drawn. The solution can be applied to many other freedom nonlinear systems, and to solve the coupling systems' approximate solution, to analyze its' central limit and Hopf branch. |
| |
| Keywords: | strong nonlinear system approximate solution central limit |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
