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Indexed by:期刊论文

Date of Publication:2014-04-01

Journal:APPLIED MATHEMATICS LETTERS

Included Journals:SCIE、EI、Scopus

Volume:31

Page Number:29-33

ISSN No.:0893-9659

Key Words:Distributional chaos; Li-Yorke chaos

Abstract: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.