Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-01-30

Journal: MODERN PHYSICS LETTERS B

Included Journals: Scopus、SCIE

Volume: 30

Issue: 3

ISSN: 0217-9849

Key Words: Asymptotic average shadowing property; almost specification property; distributional chaos

Abstract: 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.