关于动力系统空间中的一些稠密集

IF 2.1 2区数学 Q1 MATHEMATICS Advanced Nonlinear Studies Pub Date : 2023-01-01 DOI:10.1515/ans-2022-0053

R. Pawlak, Justyna Poprawa

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引用次数: 0

摘要

不同混沌存在的自然结果是研究它们之间的相互依赖关系以及这些概念与系统熵之间的关系。这一观察结果也适用于解决这一问题的本地方法。在本文中，我们将在“点聚焦混沌”的背景下关注这个问题。我们的目的是通过考虑离散动力系统空间中适当的周期动力系统集来证明它们的相互独立性。

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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On some dense sets in the space of dynamical systems

Abstract The natural consequence of the existence of different kinds of chaos is the study of their mutual dependence and the relationship between these concepts and the entropy of systems. This observation also applies to the local approach to this issue. In this article, we will focus on this problem in the context of “points focusing chaos.” We aim to show their mutual independence by considering the sets of appropriate periodic dynamical systems in the space of discrete dynamical systems.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.