School of Mathematical and Statistical Sciences Faculty Publications and Presentations

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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.


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



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