Transitive points in CR-dynamical systems
Iztok Bani\v{c}, Goran Erceg, Sina Greenwood, Judy Kennedy
TL;DR
This paper explores various types of transitive points in CR-dynamical systems on compact metric spaces, introducing new concepts like transitive and dense orbit transitive systems, and analyzing their properties and relationships.
Contribution
It generalizes the concept of transitivity from classical topological dynamical systems to CR-dynamical systems with closed relations.
Findings
Introduction of transitive and dense orbit transitive CR-dynamical systems
Analysis of properties and relations between different transitivity notions
Generalization of classical transitive systems to CR-dynamical context
Abstract
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 ).
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Differential Equations and Dynamical Systems · Advanced Banach Space Theory