HETEROCLINIC CYCLES EMANATING FROM LOCAL BIFURCATIONS

被引：1

作者：

WU, W

ZOU, YK

HUANG, MY

机构：

[1] Department of Mathematics, Jilin University, Changchun

来源：

MANUSCRIPTA MATHEMATICA | 1994年 / 85卷 / 3-4期

关键词：

HETEROCLINIC CYCLES; LOCAL BIFURCATION; Z(2)-SYMMETRY; 2-DIMENSIONAL NULL SPACE;

D O I：

10.1007/BF02568205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the double singular point of nonlinear Z(2)-symmetric systems with two parameters, where the systems have a two-dimensional null space. We show the existence of a path of heteroclinic cycles bifurcating from the double singular point, thus provide a new approach through local steady-state bifurcations to global dynamical bifurcations.

引用

页码：381 / 392

页数：12

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