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Attractor for minimal iterated function systemsAttractor for minimal iterated function systemsA. Sarizadeh
被引:0
作者
:
Aliasghar Sarizadeh
论文数:
0
引用数:
0
h-index:
0
机构:
Ilam University,Department of Mathematics
Ilam University,Department of Mathematics
Aliasghar Sarizadeh
[
1
]
机构
:
[1]
Ilam University,Department of Mathematics
来源
:
Collectanea Mathematica
|
2025年
/ 76卷
/ 1期
关键词
:
Iterated function system;
Equicontinuity;
Hutchinson operator;
Strict attractor;
Shadowing property;
37B55;
37B65;
D O I
:
10.1007/s13348-023-00422-8
中图分类号
:
学科分类号
:
摘要
:
In the present work, we study the attractors of iterated function systems (IFSs) on compact metric spaces. We prove that the whole of the phase space of a forward minimal IFS, for which some map admits an attracting fixed point, is an attractor.
引用
收藏
页码:105 / 111
页数:6
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