Application of He's amplitude-frequency formulation to nonlinear oscillators with discontinuities

被引：27

作者：

Ren, Zhong-Fu ^{[1
]}

Liu, Gui-Qin ^{[1
]}

Kang, Yong-Xiang ^{[1
]}

Fan, Huai-Yu ^{[1
]}

Li, Hong-Mei ^{[1
]}

Ren, Xian-Dong ^{[1
]}

Gui, Wei-Kui ^{[1
]}

机构：

[1] Jining Med Coll, Sch Informat Engn, Jining 272000, Shandong, Peoples R China

来源：

PHYSICA SCRIPTA | 2009年 / 80卷 / 04期

关键词：

HOMOTOPY PERTURBATION METHOD; DUFFING-HARMONIC OSCILLATOR; PARAMETER-EXPANSION METHOD; ANCIENT CHINESE ALGORITHM; ASYMPTOTIC METHODS; EQUATIONS;

D O I：

10.1088/0031-8949/80/04/045003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An ancient Chinese mathematics method that is of extraordinary simplicity is used to solve nonlinear oscillators with discontinuities. He's frequency formulation is applied to obtain the amplitude-frequency relationship, and three examples are given to demonstrate the extremely simple solution procedure and the remarkable accuracy of the obtained solutions.

引用

页数：3

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