PERTURBATION METHOD FOR A SET OF PURELY NONLINEAR DIFFERENTIAL-EQUATIONS

被引：6

作者：

OTTOY, JP

机构：

[1] Department of Applied Mathematics, University of Ghent, Ghent

来源：

INTERNATIONAL JOURNAL OF CONTROL | 1979年 / 30卷 / 04期

关键词：

D O I：

10.1080/00207177908922795

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper an extension. o f the method of Krylo'v-Bogolioubov for a set of purely non-linear autonomous first-order differential equations is presented. As a special case the results of Krylov-Bogolioubov can be obtained in an easy way. The proposed method enables the error of the approximate solution to be determined and can also be used for the determination of the existence and the corresponding stability of a limit-cycle of the system. © 1979 Taylor & Francis Ltd.

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页码：587 / 595

页数：9

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