点击次数：

论文类型：期刊论文

发表时间：2014-04-01

发表刊物：APPLIED MATHEMATICS LETTERS

收录刊物：SCIE、EI、Scopus

卷号：31

页面范围：29-33

ISSN号：0893-9659

关键字：Distributional chaos; Li-Yorke chaos

摘要：There are three versions of distributional chaos, namely DC1, DC2 and DC3. By using an example of constant-length substitution system, we show that DC3 need not imply Li-Yorke chaos. (In this paper, chaos means the existence of an uncountable scrambled set of the corresponding type, while the existing example only deals with a single pair of points.) (C) 2014 Elsevier Ltd. All rights reserved.