Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

7-25-2021

Abstract

We study a p-adic reaction-diffusion system and the associated Turing patterns. We establish an instability criteria and show that the Turing patterns are not classical patterns consisting of alternating domains. Instead of this, a Turing pattern consists of several domains (clusters), each of them supporting a different pattern but with the same parameter values. This type of patterns are typically produced by reaction-diffusion equations on large networks.

Comments

Original published version available at https://doi.org/10.1007/978-3-030-81976-7_7

Publication Title

Zúñiga-Galindo W.A., Toni B. (eds) Advances in Non-Archimedean Analysis and Applications

DOI

10.1007/978-3-030-81976-7_7

Included in

Mathematics Commons

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