kan型部分双曲微分同态的拓扑及及性

IF 1.1 3区数学 Q1 MATHEMATICS

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI:10.3934/dcds.2023117

Mingyang Xia

引用次数: 0

摘要

本文给出了一类增厚环面上的微分同态的拓扑传递性，其中包括1994年由Ittai Kan提出的部分双曲例子，该例子是第一个具有混合盆地现象的系统。

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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Topological transitivity of Kan-type partially hyperbolic diffeomorphisms

We present the topological transitivity of a class of diffeomorphisms on the thickened torus, including the partially hyperbolic example introduced by Ittai Kan in 1994, which is well known for the first systems with the intermingled basins phenomenon.

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来源期刊

Discrete and Continuous Dynamical Systems 数学-数学

CiteScore

2.50

自引率

0.00%

发文量

175

审稿时长

6 months

期刊介绍： DCDS, series A includes peer-reviewed original papers and invited expository papers on the theory and methods of analysis, differential equations and dynamical systems. This journal is committed to recording important new results in its field and maintains the highest standards of innovation and quality. To be published in this journal, an original paper must be correct, new, nontrivial and of interest to a substantial number of readers.