Attractors of dissipative homeomorphisms of the infinite surface homeomorphic to a punctured sphere

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-03-30 DOI:10.1142/s0219199722500109

Grzegorz Graff, R. Ortega, Alfonso Ruiz-Herrera

引用次数: 0

Abstract

A class of dissipative orientation preserving homeomorphisms of the infinite annulus, pairs of pants, or generally any infinite surface homeomorphic to a punctured sphere is considered. We prove that in some isotopy classes the local behavior of such homeomorphisms at a fixed point, namely the existence of so-called inverse saddle, impacts the topology of the attractor — it cannot be arcwise connected.

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与穿孔球同胚的无限曲面耗散同胚的吸引子

考虑了一类耗散定向保持的无限环面、裤子或一般任意无限曲面同胚于穿孔球面的同胚。我们证明了在一些同胚类中，这种同胚在不动点上的局部行为，即所谓的反鞍的存在，影响了吸引子的拓扑结构——它不可能是弧连通的。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.