A weakly mixing dynamical system with the whole space being a transitive extremal distributionally scrambled set

Lidong Wang, Xiaoping Ou and Yuelin Gao

Chaos, Solitons & Fractals, 2015, vol. 70, issue C, 130-133

Abstract: It is known that the whole space can be a Li–Yorke scrambled set in a compact dynamical system, but this does not hold for distributional chaos. In this paper we construct a noncompact weekly mixing dynamical system, and prove that the whole space is a transitive extremal distributionally scrambled set in this system.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:70:y:2015:i:c:p:130-133

DOI: 10.1016/j.chaos.2014.11.012

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