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

doi:10.1134/S2070046623040015

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

Department of Mathematics

Instituto Politécnico Nacional
University of Texas Rio Grande Valley

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 language	English
Pages (from-to)	245-265
Number of pages	21
Journal	P-Adic Numbers, Ultrametric Analysis, and Applications
Volume	15
Issue number	4
DOIs	https://doi.org/10.1134/S2070046623040015
State	Published - Dec 2023

Keywords

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

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10.1134/S2070046623040015

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title = "Turing Patterns in a p-Adic FitzHugh-Nagumo System on the Unit Ball",

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.",

keywords = "FitzHugh-Nagumo systems, Turing patterns, p-adic analysis, traveling waves",

author = "Chac{\'o}n-Cort{\'e}s, \{L. F.\} and Garcia-Bibiano, \{C. A.\} and Z{\'u}{\~n}iga-Galindo, \{W. A.\}",

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T1 - Turing Patterns in a p-Adic FitzHugh-Nagumo System on the Unit Ball

AU - Chacón-Cortés, L. F.

AU - Garcia-Bibiano, C. A.

AU - Zúñiga-Galindo, W. A.

PY - 2023/12

Y1 - 2023/12

N2 - 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.

AB - 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.

KW - FitzHugh-Nagumo systems

KW - Turing patterns

KW - p-adic analysis

KW - traveling waves

UR - https://www.scopus.com/pages/publications/85179927455

U2 - 10.1134/S2070046623040015

DO - 10.1134/S2070046623040015

M3 - Article

AN - SCOPUS:85179927455

SN - 2070-0466

VL - 15

SP - 245

EP - 265

JO - P-Adic Numbers, Ultrametric Analysis, and Applications

JF - P-Adic Numbers, Ultrametric Analysis, and Applications

IS - 4

ER -

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

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Keywords

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