Minimal dynamical systems with closed relations

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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Publication Details

Journal
Glasnik Matematicki
Published
2024-12-15
DOI
https://doi.org/10.3336/gm.59.2.10
Citations
2
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
1.78

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article

Minimal dynamical systems with closed relations

Rene Gril Rogina, Judy Kennedy, Goran Erceg, Iztok Bani ̌ c
2 citations
Glasnik Matematicki
Mathematical Dynamics and Fractals
1.78
article

Minimal dynamical systems with closed relations

Rene Gril Rogina, Judy Kennedy, Goran Erceg, Iztok Bani ̌ c
article en
2 citations

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 \(X\).

Glasnik MatematickiVol. 59(2)
Lamar University (US), University of Maribor (SI), University of Split (HR)
Javna Agencija za Raziskovalno Dejavnost RS
Reduced inequalities
Openalex Percentile: Top 15%
Mathematical Dynamics and Fractals
1.78
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