BIFURCATION AT INFINITY IN POLYNOMIAL VECTOR-FIELDS

被引：49

作者：

BLOWS, TR

ROUSSEAU, C

机构：

[1] UNIV MONTREAL, DEPT MATH & STAT, MONTREAL H3C 3J7, QUEBEC, CANADA

[2] UNIV MONTREAL, CRM, MONTREAL H3C 3J7, QUEBEC, CANADA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1993年 / 104卷 / 02期

关键词：

D O I：

10.1006/jdeq.1993.1070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study here the appearance of limit cycles from the equator in polynomial vector fields with no singular points at infinity: this bifurcation is a generalized Hopf bifurcation from the point at infinity. We start with the general theory and then specialize to the particular case of cubic polynomial systems for which we study the simultaneous bifurcation of limit cycles from the origin and from the equator. We finally discuss the transformation of a weak focus at infinity into a finite weak focus. © 1993 by Academic Press, Inc.

引用

页码：215 / 242

页数：28

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