Formation of Turing patterns in the Schnakenberg system over the p-adic integers

C. A. Garcia-Bibiano, L. F. Chacón-Cortés

Producción: Contribución a una revistaArtículorevisión exhaustiva

Resumen

We introduce discrete and p-adic continuous versions of the Schnakenberg system on a one-dimensional p-adic unit ball. We establish criteria for the existence of Turing patterns in p-adic Schnakenberg systems. We give extensive simulations of some of these systems. We present numerical simulations that illustrate the shape of the Turing patterns in our system on the p-adic unit ball. Finally, we compare the numerical solution obtained in a specific Schnakenberg system in the classical case with the numerical solution obtained in a particular Schnakenberg system in the p-adic case.

Idioma originalInglés
Número de artículo26
PublicaciónJournal of Pseudo-Differential Operators and Applications
Volumen16
N.º1
DOI
EstadoPublicada - mar. 2025

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