Two limit cycles in three-dimensional Lotka-Volterra systems

被引：46

作者：

Lu, ZY ^{[1
]}

Luo, Y

机构：

[1] Wenzhou Normal Coll, Inst Syst Sci, Wenzhou 325000, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2002年 / 44卷 / 1-2期

关键词：

Lotka-Volterra systems; center manifold; Hopf bifurcation; limit cycles;

D O I：

10.1016/S0898-1221(02)00129-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Among the six classes of Zeeman's classification for three-dimensional Lotka-Volterra competitive systems with limit cycles, besides the heteroclinic cycle case (Case 27), we construct in three cases without heteroclinic cycle (Cases 26, 28, 29) two limit cycles. Our construction gives a partial answer to Hofbauer and So's problem to these systems. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：51 / 66

页数：16

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