基于形状理论和符号动力学的链递归集的局部化

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2019-01-01 DOI:10.1515/taa-2019-0002

M. Shoptrajanov

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引用次数: 1

摘要

摘要本文的主要目的是在形状理论框架中对链循环集进行局部化。也就是说，利用[1]的固有方法，我们给出了一个结果，声称在某些条件下链循环集保持局部形状性质。我们利用固有覆盖的概念在[2]中证明了这个结果。本文利用Lebesque数给出了覆盖的一个新的证明，并通过研究[3]之后的几个微分方程组的符号像来验证这一结果。

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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Localization of the Chain Recurrent set using Shape theory and Symbolical Dynamics

Abstract The main aim of this paper is localization of the chain recurrent set in shape theoretical framework. Namely, using the intrinsic approach to shape from [1] we present a result which claims that under certain conditions the chain recurrent set preserves local shape properties. We proved this result in [2] using the notion of a proper covering. Here we give a new proof using the Lebesque number for a covering and verify this result by investigating the symbolical image of a couple of systems of differential equations following [3].

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来源期刊

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks