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
收藏
页码：653 / 669
页数：17
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