Explosions: global bifurcations at heteroclinic tangencies

被引：8
|
作者：
Alligood, K [1 ]
Sander, E
Yorke, J
机构：
[1] George Mason Univ, Dept Math Sci, Fairfax, VA 22030 USA
[2] Univ Maryland, Inst Phys Sci & Technol, Dept Math, College Pk, MD 20742 USA
[3] Univ Maryland, Inst Phys Sci & Technol, Dept Phys, College Pk, MD 20742 USA
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2002年 / 22卷
关键词：
D O I：
10.1017/S0143385702000615
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate bifurcations in the chain recurrent set for a particular class of one-parameter families of diffeomorphisms in the plane. We give necessary and sufficient conditions for a discontinuous change in the chain recurrent set to occur at a point of heteroclinic tangency. These are also necessary and sufficient conditions for an Omega-explosion to occur at that point.
引用
收藏
页码：953 / 972
页数：20
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