Turing patterns in a \(p\)-adic FitzHugh-Nagumo system on the unit ball

DOI10.1134/s2070046623040015arXiv2308.04364MaRDI QIDQ6123870

Leonardo Fabio Chacón-Cortés, C. A. Garcia-Bibiano, Wilson A. Zuniga-Galindo

Publication date: 8 April 2024

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.04364

zbMATH Keywords

traveling wavesTuring patterns\(p\)-adic analysisFitzHugh-Nagumo systems

Mathematics Subject Classification ID

Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) (p)-adic differential equations (12H25) Traveling wave solutions (35C07) Pattern formations in context of PDEs (35B36) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

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• Finite approximations of physical models over local fields
• Pseudodifferential equations over non-Archimedean spaces
• Instability of stationary solutions of reaction-diffusion-equations on graphs
• Identifying network topologies that can generate Turing pattern
• On \(p\)-adic mathematical physics
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Turing instability in reaction-diffusion models on complex networks
• Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type
• Eigen's paradox and the quasispecies model in a non-Archimedean framework
• Reaction-diffusion equations on complex networks and Turing patterns, via \(p\)-adic analysis
• Finite approximations of physical models over \(p\)-adic fields
• A review of finite approximations, Archimedean and non-Archimedean
• Parabolic equations in biology. Growth, reaction, movement and diffusion
• Complex behavior of polynomial FitzHugh-Nagumo cellular neural network model
• Complex networks: structure and dynamics
• Semigroup methods for evolution equations on networks
• Turing instability and pattern formation of neural networks with reaction-diffusion terms
• Fourier Analysis on Local Fields. (MN-15)
• Non-Archimedean reaction-ultradiffusion equations and complex hierarchic systems
• Ultrametric Pseudodifferential Equations and Applications
• The chemical basis of morphogenesis
• Advances in Non-Archimedean Analysis and Applications
• Blow-up for discrete reaction-diffusion equations on networks

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