Turing Patterns in a p-Adic FitzHugh-Nagumo System on the Unit Ball

L. F. Chacón-Cortés, C. A. Garcia-Bibiano, W. A. Zúñiga-Galindo

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)245-265
Number of pages21
JournalP-Adic Numbers, Ultrametric Analysis, and Applications
Volume15
Issue number4
DOIs
StatePublished - Dec 2023

Keywords

  • FitzHugh-Nagumo systems
  • Turing patterns
  • p-adic analysis
  • traveling waves

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