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.
N1 - Publisher Copyright:
© 2023, Pleiades Publishing, Ltd.
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 - http://www.scopus.com/inward/record.url?scp=85179927455&partnerID=8YFLogxK
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 -