Turing patterns in a p-adic FitzHugh-Nagumo system on the unit ball
Pattern Formation and Solitons
2023-11-23 v3
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.
Keywords
Cite
@article{arxiv.2308.04364,
title = {Turing patterns in a p-adic FitzHugh-Nagumo system on the unit ball},
author = {L. F. Chacón-Cortés and C. A. Garcia-Bibiano and W. A. Zúñiga-Galindo},
journal= {arXiv preprint arXiv:2308.04364},
year = {2023}
}
Comments
Final version accepted in p-Adic Numbers, Ultrametric Analysis, and Applications. The captions of the figures were modified