Title

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

8-2023

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.

Recommended Citation

Chacón-Cortés, L. F., C. A. Garcia-Bibiano, and W. A. Zúñiga-Galindo. "Turing patterns in a p-adic FitzHugh-Nagumo system on the unit ball." arXiv preprint arXiv:2308.04364 (2023).