HETEROCLINIC NETWORKS ON THE TETRAHEDRON

被引：58

作者：

BRANNATH, W

机构：

[1] Inst. fur Math., Wien Univ.

来源：

NONLINEARITY | 1994年 / 7卷 / 05期

关键词：

D O I：

10.1088/0951-7715/7/5/006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stability properties of heteroclinic cycles as they occur in heteroclinic networks on the tetrahedron. Their stability properties are investigated using Poincare sections and can be stated in terms of 'relative asymptotic stability'. We give necessary and sufficient conditions for such cycles to be relatively asymptotically stable with respect to some open set.

引用

页码：1367 / 1384

页数：18

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