Strictly Periodic Points of Cellular Automata with Almost Equicontinuous Points

We show that the set of strictly temporally periodic points of cellular automata with almost equicontinuous points is dense in the space of bi-infinite sequences. This extends a result of Dennunzio, Di Lena and Margara about the density of the set of strictly temporally periodic points of cellular automata with equicontinuous points.

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Publication Details

Journal
International Journal of Bifurcation and Chaos
Published
2025-06-28
DOI
https://doi.org/10.1142/s0218127425501299
Primary Topic
Cellular Automata and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Strictly Periodic Points of Cellular Automata with Almost Equicontinuous Points

Nacira Allaoua, Rezki Chemlal
International Journal of Bifurcation and Chaos
Cellular Automata and Applications
article

Strictly Periodic Points of Cellular Automata with Almost Equicontinuous Points

Nacira Allaoua, Rezki Chemlal
article en

Abstract

We show that the set of strictly temporally periodic points of cellular automata with almost equicontinuous points is dense in the space of bi-infinite sequences. This extends a result of Dennunzio, Di Lena and Margara about the density of the set of strictly temporally periodic points of cellular automata with equicontinuous points.

International Journal of Bifurcation and ChaosVol. 35(11)
University of Béjaïa (DZ)
Openalex Percentile: Top 83%
Cellular Automata and Applications
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Strictly Periodic Points of Cellular Automata with Almost Equicontinuous Points — Nacira Allaoua, Rezki Chemlal · International Journal of Bifurcation and Chaos (2025) | TGRS Research Map | TGRS