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

Departamento de Matemáticas

Producción: Contribución a una revista › Artículo › revisión exhaustiva

3 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	245-265
Número de páginas	21
Publicación	P-Adic Numbers, Ultrametric Analysis, and Applications
Volumen	15
N.º	4
DOI	https://doi.org/10.1134/S2070046623040015
Estado	Publicada - dic. 2023

Acceder al documento

10.1134/S2070046623040015

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{09379cc445e341fe9b6f443cd2541fb0,

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.\}",

note = "Publisher Copyright: {\textcopyright} 2023, Pleiades Publishing, Ltd.",

year = "2023",

month = dec,

doi = "10.1134/S2070046623040015",

language = "English",

volume = "15",

pages = "245--265",

journal = "P-Adic Numbers, Ultrametric Analysis, and Applications",

issn = "2070-0466",

publisher = "Pleiades Publishing",

number = "4",

}

TY - JOUR

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

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto