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论文类型：期刊论文

发表时间：2016-01-30

发表刊物：MODERN PHYSICS LETTERS B

收录刊物：Scopus、SCIE

卷号：30

期号：3

ISSN号：0217-9849

关键字：Asymptotic average shadowing property; almost specification property; distributional chaos

摘要：It is proved that a nontrivial compact dynamical system with asymptotic average shadowing property (AASP) displays uniformly distributional chaos or distributional chaos in a sequence. Moreover, distributional chaos in a system with AASP can be uniform and dense in the measure center, that is, there is an uncountable uniformly distributionally scrambled set consisting of such points that the orbit closure of every point contains the measure center. As a corollary, the similar results hold for the system with almost specification property.