单位球上 $$p$$ 阿迪克菲茨休-纳古莫系统中的图灵模式

IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2023-12-18 DOI:10.1134/s2070046623040015

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

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引用次数: 0

摘要

Abstract 我们介绍了一维单位球上的离散和（p）-adic连续版本的FitzHugh-Nagumo系统。我们提供了图灵模式存在的标准。我们对其中一些系统进行了大量模拟。模拟结果表明，图灵模式是 $p$-adic 单位球中的行波。

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

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

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.

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来源期刊

P-Adic Numbers Ultrametric Analysis and Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： This is a new international interdisciplinary journal which contains original articles, short communications, and reviews on progress in various areas of pure and applied mathematics related with p-adic, adelic and ultrametric methods, including: mathematical physics, quantum theory, string theory, cosmology, nanoscience, life sciences; mathematical analysis, number theory, algebraic geometry, non-Archimedean and non-commutative geometry, theory of finite fields and rings, representation theory, functional analysis and graph theory; classical and quantum information, computer science, cryptography, image analysis, cognitive models, neural networks and bioinformatics; complex systems, dynamical systems, stochastic processes, hierarchy structures, modeling, control theory, economics and sociology; mesoscopic and nano systems, disordered and chaotic systems, spin glasses, macromolecules, molecular dynamics, biopolymers, genomics and biology; and other related fields.