ATTRACTORS WITH NON-INVARIANT INTERIOR

被引：0
|
作者：
Minkov, Stanislav [1 ]
Okunev, Alexey [2 ]
Shilin, Ivan [3 ]
机构：
[1] Brook Inst Elect Control Machines, Moscow, Russia
[2] Penn State Univ, State Coll, PA USA
[3] HSE Univ, Moscow, Russia
来源：
MOSCOW MATHEMATICAL JOURNAL | 2023年 / 23卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
Attractors; Milnor attractor; dynamics of endomorphisms;
D O I：
10.17323/1609-4514-2023-23-4-559-570
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct an open set of endomorphisms of an arbitrary two-dimensional manifold which have attractors and non-wandering sets with non-invariant interior. This is a notable contrast to the properties of diffeomorphisms, where the interior must be invariant.2020 MATH. SUBJ. CLASS. 37C70, 37C20, 37E30, 37D30.
引用
收藏
页码：559 / 570
页数：12
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