Turing patterns in a p-adic FitzHugh-Nagumo system

Ponente(s): Carlos Alberto Garcia Bibiano, Dr. Leonardo Fabio Chacón Cortés y Dr. Wilson Alvaro Zúñiga Galindo

We study, continuous and discrete version, of a p-adic FitzHugh-Nagumo system. We show conditions for that Turing patterns to appear in these systems. This type of patterns are typically produced by reaction-diffusion equations on large networks. For a certain family of examples, we provide numerical simulations showing this phenomenon. Finally, we give a conclusion about our work.