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

页码：559 / 570

页数：12

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