Cubic system with eight small-amplitude limit cycles

被引：0

作者：

James, E.M. ^{[1
]}

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

机构：

[1] Univ Coll of Wales, Aberystwyth, United Kingdom

来源：

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) | 1991年 / 47卷 / 02期

基金：

美国国家科学基金会;

关键词：

Mathematical Techniques - Differential Equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In much recent research on Hilbert's sixteenth problem, limit cycles which arise by bifurcation have been investigated. It has long been known that in quadratic systems at most three limit cycles can bifurcate from a critical point, and that the maximum number in symmetric cubic systems is five. Examples exist in the literature of cubic systems with six small-amplitude limit cycles. In this paper, a class of cubic systems with eight such limit cycles is described.

引用

页码：163 / 171

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