Turing patterns in a p-adic FitzHugh-Nagumo system on the unit ball

Authors

L. F. Chacón-Cortés
C. A. Garcia-Bibiano
Wilson A. Zuniga-Galindo, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

12-18-2023

Abstract

We introduce discrete and p-adic continuous versions of the FitzHugh-Nagumo system on the one-dimensional p-adic unit ball. We provide criteria for the existence of Turing patterns. We present extensive simulations of some of these systems. The simulations show that the Turing patterns are traveling waves in the p-adic unit ball.

Comments

Original published version available at https://doi.org/10.1134/S2070046623040015

Recommended Citation

Chacón-Cortés, L.F., Garcia-Bibiano, C.A. & Zúñiga-Galindo, W.A. Turing Patterns in a p-Adic FitzHugh-Nagumo System on the Unit Ball. P-Adic Num Ultrametr Anal Appl 15, 245–265 (2023). https://doi.org/10.1134/S2070046623040015

Publication Title

p-Adic Numbers, Ultrametric Analysis and Applications

DOI

10.1134/S2070046623040015