Some cubic systems with several limit cycles

被引：29

作者：

Lloyd, N. G. ^{[1
]}

Blows, T. R. ^{[2
]}

Kalenge, M. C. ^{[3
]}

机构：

[1] Univ Coll Wales, Dept Math, Aberystwyth SY23 2BZ, Dyfed, Wales

[2] No Arizona Univ, Dept Math, Flagstaff, AZ 86011 USA

[3] Univ Zambia, Dept Math, Lusaka, Zambia

来源：

NONLINEARITY | 1988年 / 1卷 / 04期

关键词：

D O I：

10.1088/0951-7715/1/4/008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two-dimensional systems (x)over dot = P(x, y) (y)over dot = Q(x, y) in which P and Q are cubic polynomials, are considered, and a number of classes with several limit cycles are described. Examples of systems with six small-amplitude limit cycles are given. Other classes of systems with several limit cycles are obtained by considering simultaneous bifurcation from a finite critical point and infinity. Simultaneous bifurcation from several critical points is investigated.

引用

页码：653 / 669

页数：17

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