Turing Patterns in a p-Adic Schnakenberg System

Ponente(s): Carlos Alberto García Bibiano, Leonardo Fabio Chacón Cortés

We introduce discrete and p-adic continuous versions of the Schnakenberg 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. We show numerical simulations showing the shape of the Turing patterns in our system on the p-adic unit ball.