带轨道条件的迭代函数系统吸引子的连续性依赖性

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-07-12 DOI:10.1007/s12346-024-01095-9

Dariusz Wardowski

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引用次数: 0

摘要

Secelean 和 Wardowski 在文章（Qual Theory Dyn Syst 21:162, 2022）中介绍了涉及轨道类型某些条件的迭代函数系统。这种 IFS 的吸引子大大扩展了迄今为止研究过的分形对象家族。在本研究中，我们提供了一些进一步的特性，并给出了关于这类吸引子与描述给定轨道 IFS 和最初选择的紧凑子集映射的参数连续变化的连续性相关性的答案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Continuity Dependence of Attractors of Iterated Function Systems with Orbital Condition

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Continuity Dependence of Attractors of Iterated Function Systems with Orbital Condition

In the article Secelean and Wardowski (Qual Theory Dyn Syst 21:162, 2022), there were introduced iterated function systems involving certain condition of orbital type. The attractors of such IFSs substantially extend the family of fractal objects investigated so far. In the present work we provide some further properties and give the answer regarding the continuity dependence of this type of attractors with respect to the continuous change of the parameters that describe the maps of the given orbital IFS and the initially chosen compact subset.

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.