The class of simple dynamics systems

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2020-10-01 DOI:10.4995/AGT.2020.12929

K. Ali Akbar

引用次数: 1

Abstract

In this paper, we study the class of simple dynamical systems on R induced by continuous maps having finitely many non-ordinary points. We characterize this class using labeled digraphs and dynamically independent sets. In fact, we classify dynamical systems up to their number of non-ordinary points. In particular, we discuss about the class of continuous maps having unique non-ordinary point, and the class of continuous maps having exactly two non-ordinary points.

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一类简单的动力学系统

本文研究了一类由具有有限多个非普通点的连续映射在R上诱导的简单动力系统。我们使用标记有向图和动态独立集来描述这类。事实上，我们根据非普通点的数量对动力系统进行分类。特别地，我们讨论了一类具有唯一非普通点的连续映射，以及一类具有恰好两个非普通点的连续映射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.