| 两自由度耦合van del Pol振子周期解的同伦分析方法 |
| |
| 引用本文： | 钱有华,张伟.两自由度耦合van del Pol振子周期解的同伦分析方法[J].科技导报(北京),2008,26(22). |
| |
| 作者姓名： | 钱有华 张伟 |
| |
| 作者单位： | 北京工业大学机电学院，浙江师范大学数理信息学院 |
| |
| 基金项目： | 国家自然科学基金
，
浙江省高校青年教师资助计划
|
| |
| 摘 要： | 应用同伦分析方法,研究了两自由度耦合vandel Pol振子周期解的问题。与传统方法不同,同伦分析方法不依赖于小参数,并提供了一个简便的途径确保级数解的收敛。比较同伦分析方法与四阶Runge-Kutta法(数值解)表明,通过同伦分析方法得到的四阶解析近似能有效地逼近数值解。
|
| 关 键 词： | 动力学与控制 同伦分析方法 周期解 van del Pol方程 |
Periodic Solutions for Coupled van del Pol Oscillators of Two-degrees-of-freedom by Homotopy Analysis Method |
| |
| QIAN Youhua,ZHANG Wei.Periodic Solutions for Coupled van del Pol Oscillators of Two-degrees-of-freedom by Homotopy Analysis Method[J].Science & Technology Review,2008,26(22). |
| |
| Authors: | QIAN Youhua ZHANG Wei |
| |
| Abstract: | The periodic solutions for coupled van del Pol oscillators of two-degrees-of-freedom are studied by means of a new analytical method,the homotopy analysis method(HAM).The HAM is independent of small parameters.More importantly,unlike traditional techniques,the HAM provides a simple way to ensure the convergence of solution series.Comparisons are made between the results of the HAM and Runge-Kutta(numerical)method.It is shown that the fourth-order homotopy analysis solutions approach the numerical solutions effectively. |
| |
| Keywords: | dynamics and control homotopy analysis method periodic solution van del Pol equation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
