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Minimal dynamical systems with closed relations

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arxiv 2205.02907 v1 pith:JJEUCBXC submitted 2022-05-05 math.DS math.GN

Iztok Banic , Goran Erceg , Rene Gril Rogina , Judy Kennedy This is my paper
classification math.DSmath.GN
keywords dynamicalsystemsclosedcompactmetricminimalrelationscontinuous
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abstract

We introduce dynamical systems $(X,G)$ with closed relations $G$ on compact metric spaces $X$ and discuss different types of minimality of such dynamical systems, all of them generalizing minimal dynamical systems $(X,f)$ with continuous function $f$ on a compact metric space $X$.

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Cited by 1 Pith paper

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  1. Shadowing in CR-Dynamical Systems

    math.DS 2025-05 accept novelty 5.0 of 10

    Defines (i,j)-shadowing for closed relations on compact spaces and gives characterizations for finite-branching, diagonal-containing, and isometry-related relations.

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