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

We introduce discrete and -adic continuous versions of the FitzHugh-Nagumo system on the one-dimensional -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 w...

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Bibliographic Details
Published inP-adic numbers, ultrametric analysis, and applications Vol. 15; no. 4; pp. 245 - 265
Main Authors Chacón-Cortés, L. F., Garcia-Bibiano, C. A., Zúñiga-Galindo, W. A.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 2023
Springer Nature B.V
Subjects
14/34
639/766/189
639/766/530
639/766/747
Algebra
Mathematics
Mathematics and Statistics
Traveling waves
FitzHugh-Nagumo systems
traveling waves
adic analysis
Turing patterns
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Summary:We introduce discrete and -adic continuous versions of the FitzHugh-Nagumo system on the one-dimensional -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 -adic unit ball.
ISSN:2070-0466
2070-0474
DOI:10.1134/S2070046623040015