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2D linear CA with mixing boundary conditions and reversibility

Identificadores del recurso

International Journal of Bifurcation and Chaos, 33(08): 2350094-1-2350094-19 (2023)

02181274

17936551

http://hdl.handle.net/11093/5470

10.1142/S0218127423500943

https://www.worldscientific.com/doi/10.1142/S0218127423500943

Origin

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Title:: 2D linear CA with mixing boundary conditions and reversibility
Tema:: 1201.11 Teoría de Matrices
Description:: In this paper, we consider two-dimensional cellular automata (CA) with the von Neumann neighborhood. We study the characterization of 2D linear cellular automata defined by the von Neumann neighborhood with new type of boundary conditions over the field Zp. Furthermore, we investigate the rule matrices of 2D von Neumann CA by applying the group of permutations S4. Moreover, the algorithm for computing the rank of rule matrices is given. Finally, necessary and sufficient conditions for the existence of Garden of Eden configurations for considered two-dimensional cellular automata are obtained.; Agencia Estatal de Investigación | Ref. PID2020-115155GB-I00; Ministry of Innovative Development of Uzbekistan | Ref. FZ-20200930492
Idioma:: English
Relation:: info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-115155GB-I00/ES/HOMOLOGIA, HOMOTOPIA E INVARIANTES CATEGORICOS EN GRUPOS Y ALGEBRAS NO ASOCIATIVAS
Autor/Productor:: Jumaniyozov, Doston; Casas Mirás, José Manuel; Ladra González, Manuel; Omirov, Bakhrom; Redjepov, Shovkat
Publisher:: International Journal of Bifurcation and Chaos; Matemática aplicada I; Matemáticas
Rights:: openAccess
Date:: 2023-12-05T11:18:37Z; 2023-06-30; 2023-11-14T12:15:34Z
Tipo de recurso:: article

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14. <mods:abstract>In this paper, we consider two-dimensional cellular automata (CA) with the von Neumann neighborhood. We study the characterization of 2D linear cellular automata defined by the von Neumann neighborhood with new type of boundary conditions over the field Zp. Furthermore, we investigate the rule matrices of 2D von Neumann CA by applying the group of permutations S4. Moreover, the algorithm for computing the rank of rule matrices is given. Finally, necessary and sufficient conditions for the existence of Garden of Eden configurations for considered two-dimensional cellular automata are obtained.</mods:abstract>
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