DC3 and Li-Yorke chaos
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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：Scopus、EI、SCIE
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.