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.
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)
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)。
