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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Bibliographic Details
Published in:Topology and its applications 2023-03, Vol.326, p.108407, Article 108407
Main Authors: Banič, Iztok, Erceg, Goran, Greenwood, Sina, Kennedy, Judy
Format: Article
Language:English
Subjects:
Closed relations
CR-dynamical systems
Intransitive points
Transitive and dense orbit transitive CR-dynamical systems
Transitive points
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Summary: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