Complexity and proper quasi-weakly almost periodic points

Lidong Wang, Nan Li, Hui Wang and Jianhua Liang

Chaos, Solitons & Fractals, 2020, vol. 139, issue C

Abstract: Zhou and He [1] presented three levels of the orbit’s topological structure. In this paper, we shall try to investigate the orbit’s topological structure of proper quasi-weakly almost periodic point. It is stated that there exists a dynamical system having zero topological entropy such that it has a dense, invariant, extremal and transitive, uncountable distributionally scrambled set consisting of proper quasi-weakly almost periodic points.

Keywords: Shift; Quasi-weakly almost periodic point; Topological entropy; Distributionally scrambled set (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920302848

DOI: 10.1016/j.chaos.2020.109884

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