Transitive points in CR-dynamical systems

We study different types of transitive points in CR-dynamical systems (X,G) with closed relations G on compact metric spaces X. We also introduce transitive and dense orbit transitive CR-dynamical systems and discuss their properties and the relations between them. This generalizes the notion of tra...

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Veröffentlicht in:	Topology and its applications 2023-03, Vol.326, p.108407, Article 108407
Hauptverfasser:	Banič, Iztok, Erceg, Goran, Greenwood, Sina, Kennedy, Judy
Format:	Artikel
Sprache:	eng
Schlagworte:	Closed relations CR-dynamical systems Intransitive points Transitive and dense orbit transitive CR-dynamical systems Transitive points
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Beschreibung
Zusammenfassung:	We study different types of transitive points in CR-dynamical systems (X,G) with closed relations G on compact metric spaces X. We also introduce transitive and dense orbit transitive CR-dynamical systems and discuss their properties and the relations between them. This generalizes the notion of transitive topological dynamical systems (X,f).
ISSN:	0166-8641 1879-3207
DOI:	10.1016/j.topol.2023.108407