摄动-增量法中有限Fourier级数的运算  

Computation of Finite Fourier Sequences in the Perturbation Incremental Method

作　　者：朱洁华[1] 

机构地区：[1]中山大学数学系,广州510275

出　　处：《中山大学学报（自然科学版）》1999年第6期11-15,共5页Acta Scientiarum Naturalium Universitatis Sunyatseni

摘　　要：采用符号计算的思想建立了有限Fourier级数的运算系统,将该系统应用于涉及到谐波平衡法的问题中可避免大量手工运算并便于分析.将其应用于极限环的摄动增量法中取得了很好的效果.A computational system for finite Fourier sequence is established with the thought of symbolic computation. Large quantities of manual calculations can be avoided when it is applied to the problems involving harmonic balance method. It is used to compute limit cycles by perturbation incremental method and a fine result is shown.

关 键 词：极限环 摄动-增量法 有限傅里叶级数 非线性系统 

分 类 号：O175.1[理学—数学] O231[理学—基础数学]