Duffing-harmonic振子预估-校正谐波平衡法求解  

The predictor-corrector harmonic balance approach to the Duffing-harmonic oscillator

作　　者：刘伟佳 张与同 LIU Wei-jia;ZHANG Yu-tong(College of Mathematics and Computer Science,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学与计算机学院,吉林四平136000

出　　处：《吉林师范大学学报（自然科学版）》2023年第3期76-79,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11672118);吉林省自然科学基金项目(YDZJ202301ZYTS391)。

摘　　要：利用预估-校正谐波平衡方法求解Duffing-harmonic振子,建立了系统的解析近似周期与周期解.所得近似解与由数值方法计算得到的精确解比具有高精度.结果表明,预估-校正谐波平衡方法在求解强非线性系统时,是一种行之有效的方法.This performed the predictor-corrector harmonic balance approach for the Duffing-harmonic oscillator.The approximate period and periodic solution of the system were established.Compared with the exact solution calculated by numerical method,the approximate solution had high accuracy.The results showed that the predictor-corrector harmonic equilibrium method was an effective method for solving strong nonlinear systems.

关 键 词：Duffing-harmonic振子 预估-校正谐波平衡法 近似解 

分 类 号：O322[理学—一般力学与力学基础]