Calculation of Lyapunov Quantities for a Cubic Lienard Polynomial System

被引：0

作者：

Salih, H. W. ^{[1
,2
]}

Aziz, Z. A. ^{[1
,2
]}

机构：

[1] Univ Teknol Malaysia, UTM Ctr Ind & Appl Math, Utm Johor Bahru 81310, Johor, Malaysia

[2] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Utm Johor Bahru 81310, Johor, Malaysia

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2015年 / 53卷 / 03期

关键词：

Lyapunov quantities; Lienard equation; Limit cycles;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article presents the computation of Lyapunov quantities for a nonhomogeneous cubic Lienard equation. The number of limit cycles of Lienard plane with polynomial of degree three is obtained. Evidently the analysis of system behavior near boundary of the stability domain requires the computation of Lyapunov quantities which would determine system behavior in the neighborhood of boundary.

引用

页码：159 / 164

页数：6

共 15 条

[1]

Bautin N, 1949, BEHAV DYNAMICAL SYST

[2]

Feng L., 2005, MATH COMPUT SIMULAT, V81, P2595

[3]

Jung H., 2011, AM CONTR C OFARRELL

[4]

Kuznetsov N. V., 2008, 6 EUROMECH NONL DYN