BLENDERS FOR A NON-NORMALLY HENON-LIKE FAMILY

被引：0
|
作者：
Kiriki, Shin [1 ]
Nakajima, Masaki [2 ]
机构：
[1] Kyoto Univ Educ, Dept Math, Fushimi Ku, Fukakusa Fujinomori 1, Kyoto 6128522, Japan
[2] Odessey Co Ltd, Chiyoda Ku, Tokyo 1006017, Japan
来源：
TAMKANG JOURNAL OF MATHEMATICS | 2010年 / 41卷 / 02期
关键词：
Robust transitive dynamics; heterodimensional cycles; Henon-like family; non-normal horseshoes; blender;
D O I：
10.5556/j.tkjm.41.2010.666
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A blender is an indispensable concept presented by Bonatti and Diaz [3] to study high-dimensional C-1-robust transitive dynamics around heterodimensional cycles. In this paper, we present a certain Henon-like family of real quadratic diffeomorphisms on R-3, which exhibits an phase transition from non-normal horseshoes to blenders. It can be observable from a rapidly jump of topological dimension for some projected stable segments in some characteristic region of R-3.
引用
收藏
页码：149 / 166
页数：18
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