A type of shadowing and distributional chaos

A type of shadowing and distributional chaos

For any continuous self-map of a compact metric space, we prove a saturation of distributionally scrambled Mycielski sets under a type of shadowing and the chain transitivity. This extends a result of J. Li, J. Li, and S. Tu, Devaney chaos plus shadowing implies distributional chaos, Chaos 26 (2016)...

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Veröffentlicht in:Dynamical systems (London, England) England), 2021-10, Vol.36 (4), p.572-585
1. Verfasser: Kawaguchi, Noriaki
Format: Artikel
Sprache:eng
Schlagworte:
chain transitive
distributional chaos
Metric space
Mycielski set
s-limit shadowing
Shadowing
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Beschreibung
Zusammenfassung:For any continuous self-map of a compact metric space, we prove a saturation of distributionally scrambled Mycielski sets under a type of shadowing and the chain transitivity. This extends a result of J. Li, J. Li, and S. Tu, Devaney chaos plus shadowing implies distributional chaos, Chaos 26 (2016), 093103, 6 pp.
ISSN:1468-9367
1468-9375
DOI:10.1080/14689367.2021.1957083