van der Pol方程分析研究的新结果  

A new solution of van der Pol equation

作　　者：李献礼[1] 谭晓玲[2] 丘水生[3] 陈艳峰[3] 

机构地区：[1]重庆涪陵师范学院物理系,重庆408003 [2]重庆三峡学院电子工程系,重庆404000 [3]华南理工大学电子与信息学院,广东广州510640

出　　处：《大学物理》2005年第6期16-19,共4页College Physics

基　　金：重庆市优秀中青年骨干教师资助计划项目

摘　　要：依据等效小参量法原理,用主振荡包含两个谐波的符号分析算法求解vanderPol方程,在强非线性时获得的周期解准确度高于扰动法、KBM法、多尺度法、谐波平衡法及主振荡为一个谐波的等效小参量法,且求解过程简单,易于计算机编程.<Abstrcat>Based on the principle of equivalent small parameter method, symbolic algorithm with main oscillation including two harmonics is presented to solve van der Pol equation. Using the proposed method, we can get more accurate periodic solution under strong nonlinear condition than that by perturbation method, KBM method, the multiple scale method, harmonics balance method, equivalent small parameter method with main oscillation including one harmonic. The proposed method is easy for solve van der Pol equation and for program by computer.

关 键 词：等效小参量法 主振荡 符号算法 

分 类 号：O322[理学—一般力学与力学基础]