Distributional Chaos Occurring on the Set of Proper Positive Upper Banach Density Recurrent Points of One-sided Symbolic Systems  

作　　者：Yan Jie TANG Jian Dong YIN 

机构地区：[1]Department of Mathematics, Nanchang University

出　　处：《Acta Mathematica Sinica,English Series》2020年第1期66-76,共11页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11661054 and 11261039)

摘　　要：The purpose of this paper is to show that for one-sided symbolic systems,there exists an uncountable distributionally scrambled set contained in the set of proper positive upper Banach density recurrent points.The purpose of this paper is to show that for one-sided symbolic systems, there exists an uncountable distributionally scrambled set contained in the set of proper positive upper Banach density recurrent points.

关 键 词：Distributional chaos positive upper Banach density recurrent point one-sided symbolic system 

分 类 号：O19[理学—数学] O415.5[理学—基础数学]