On the existence of codimension-one nonorientable expanding attractors

被引：8
|
作者：
Medvedev, V [1 ]
Zhuzhoma, E
机构：
[1] Nizhny Novgorod State Univ, Nizhnii Novgorod, Russia
[2] Nizhny Novgorod State Tech Univ, Nizhnii Novgorod, Russia
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2005年 / 11卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
expanding attractor; structurally stable diffeomorphism;
D O I：
10.1007/s10883-005-6587-y
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We prove that a structurally stable diffeomorphism of any closed (2m+1)-manifold, m >= 1, has no codimension one nonorientable expanding attractors. However, given any d >= 3, there exists an Omega-stable A-diffeomorphism of a closed d-manifold with a codimension one nonorientable expanding attractor.
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页码：405 / 411
页数：7
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