Bifurcation curves of limit cycles in some Lienard systems

被引：7

作者：

López-Ruiz, R

López, JL

机构：

[1] Univ Zaragoza, Fac Ciencias, Dept Fis Teor, E-50009 Zaragoza, Spain

[2] Univ Zaragoza, Fac Ciencias, Dept Matemat Aplicada, E-50009 Zaragoza, Spain

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2000年 / 10卷 / 05期

关键词：

D O I：

10.1142/S0218127400000694

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Lienard systems of the form x + Ef(x)x + x = 0, with f(x) an even continuous function, are considered. The bifurcation curves of limit cycles are calculated exactly in the weak (epsilon --> 0) and in the strongly (epsilon --> infinity) nonlinear regime in some examples. The number of limit cycles does not increase when epsilon increases from zero to infinity in all the cases analyzed.

引用

页码：971 / 980

页数：10

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