AN EXTENSION TO METHOD OF KRYLOFF AND BOGOLIUBOFF

被引：64

作者：

BARKHAM, PGD

SOUDACK, AC

机构：

[1] Electrical Engineering Department, University of British Columbia, Vancouver

来源：

INTERNATIONAL JOURNAL OF CONTROL | 1969年 / 10卷 / 04期

关键词：

D O I：

10.1080/00207176908905841

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An extension of the method of Kryloff and Bogoliuboff is presented which uses Jacobian elliptic functions to approximate the solutions to a class of second-order differential equations exhibiting a gross cubic non-linearity. The results obtained from an analysis of the error incurred by the approximation show that, provided certain conditions of smallness are satisfied, excellent solution accuracy can be obtained. Two examples are used to demonstrate application of the extension to systems of practical interest. © 1969 Taylor and Francis Group, LLC.

引用

页码：377 / &