Forcing relations for homoclinic orbits of the Smale horseshoe map

被引：30
作者：
Collins, P [1 ]
机构：
[1] Ctr Wiskunde & Informat, NL-1090 GB Amsterdam, Netherlands
来源：
EXPERIMENTAL MATHEMATICS | 2005年 / 14卷 / 01期
关键词：
homoclinic orbit; forcing relation; Smale horseshoe; braid type;
D O I：
10.1080/10586458.2005.10128909
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An important problem in the dynamics of surface homeomorphisms is determining the forcing relation between orbits. The forcing relation between periodic orbits can be computed using existing algorithms. Here we consider forcing relations between homoclinic orbits. We outline a general procedure for computing the forcing relation and apply this to compute the equivalence and forcing relations for homoclinic orbits of the Smale horseshoe map.
引用
收藏
页码：75 / 86
页数：12
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