Connected and not arcwise connected invariant sets for some 2-dimmensional dynamical systems

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI:10.1215/kjm/1256219160

F. Nakajima

引用次数: 1

Abstract

The invariant Cantor set of Smale’s horseshoe map is imbedded into a connented and not arcwise connected, invariant, compact set with zero Lebesgue measure.

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一类二维动力系统的连通和非弧连通不变量集

将Smale的马蹄形映射的不变Cantor集嵌入到一个内嵌的、非弧连接的、不变的、零勒贝格测度的紧集中。

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

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.