FIVE LIMIT CYCLES TO A CLASS OF SYSTEMS IN R~3

被引：0

作者：

Lianhua Ma

机构：

来源：

Annals of Applied Mathematics | 2011年 / 02期

基金：

中国国家自然科学基金;

关键词：

limit cycle; invariant cone; vector field;

D O I：

暂无

中图分类号：

O183.1 [向量分析];

学科分类号：

070104 ;

摘要：

In this paper, a bridge between near-homogeneous and homogeneous vector fields in R 3 is found. By the relationship between homogeneous vector fields and the induced tangent vector fields of two-dimensional manifold S 2 , we prove the existence of at least 5 isolated closed orbits for a class of n + 1 (n ≥ 2) systems in R 3 , which are located on the five invariant closed cones of the system.

引用

页码：190 / 195

页数：6

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ZHANG XINAN ;

CHEN LANSUN ;

LIANG ZHAOJUNInstitute of Mathematics Academia Sinica Beijing ChinaDepartment of Mathematics Central China Normal University Wuhan China .

Chinese Annals of Mathematics, 1999, (02) :185-194

[2] R3中一次齐次向量场的全局拓扑结构 [J].

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[4]

Qualitative theory of differential equations. ZHANG Zhi-fen, DING Tong-ren. Rhode Island . 1992

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