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Patterns of interaction of coupled reaction–diffusion systems of the FitzHugh–Nagumo type

https://doi.org/10.1007/s11071-019-05065-8
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/s00332-015-9268-3openalex-snapshot
Complex Oscillations in the Delayed FitzHugh–Nagumo Equation
inferredcites →https://doi.org/10.1007/s11071-013-1114-2openalex-snapshot
Turing instability and pattern formation of neural networks with reaction–diffusion terms
inferredcites →https://doi.org/10.1007/s11071-016-3084-7openalex-snapshot
Dynamics in a diffusive modified Leslie–Gower predator–prey model with time delay and prey harvesting
inferredcites →https://doi.org/10.1007/s11538-016-0189-6openalex-snapshot
A Turing–Hopf Bifurcation Scenario for Pattern Formation on Growing Domains
inferredcites →https://doi.org/10.1007/s40840-015-0261-7openalex-snapshot
The Effect of Delay on A Diffusive Predator–Prey System with Modified Leslie–Gower Functional Response
inferredcites →https://doi.org/10.1016/j.camwa.2012.01.056openalex-snapshot
Synchronization and control of coupled reaction–diffusion systems of the FitzHugh–Nagumo type
inferredcites →https://doi.org/10.1016/j.camwa.2015.06.031openalex-snapshot
Pattern formation in the FitzHugh–Nagumo model
inferredcites →https://doi.org/10.1016/j.cnsns.2014.10.030openalex-snapshot
Hyperbolic and non-hyperbolic chaos in a pair of coupled alternately excited FitzHugh–Nagumo systems
inferredcites →https://doi.org/10.1016/j.cnsns.2015.10.002openalex-snapshot
Turing–Hopf bifurcation in the reaction–diffusion equations and its applications
inferredcites →https://doi.org/10.1016/j.jmaa.2013.10.041openalex-snapshot
Periodic solutions in an array of coupled FitzHugh–Nagumo cells
inferredcites →https://doi.org/10.1016/j.jtbi.2006.09.036openalex-snapshot
Instabilities in spatially extended predator–prey systems: Spatio-temporal patterns in the neighborhood of Turing–Hopf bifurcations
inferredcites →https://doi.org/10.1016/j.mbs.2015.09.008openalex-snapshot
Bifurcation structure of two coupled FHN neurons with delay
inferredcites →https://doi.org/10.1016/j.nonrwa.2014.08.003openalex-snapshot
Steady state bifurcations for a glycolysis model in biochemical reaction
inferredcites →https://doi.org/10.1016/j.nonrwa.2016.02.006openalex-snapshot
Spatial resonance and Turing–Hopf bifurcations in the Gierer–Meinhardt model
inferredcites →https://doi.org/10.1016/j.physd.2006.09.008openalex-snapshot
Structural and functional clusters of complex brain networks
inferredcites →https://doi.org/10.1016/s0006-3495(61)86902-6openalex-snapshot
Impulses and Physiological States in Theoretical Models of Nerve Membrane
inferredcites →https://doi.org/10.1016/s0006-3495(78)85447-2openalex-snapshot
A mathematical model for spreading cortical depression
inferredcites →https://doi.org/10.1090/s0002-9947-00-02280-7openalex-snapshot
Normal forms and Hopf bifurcation for partial differential equations with delays
inferredcites →https://doi.org/10.1093/imamat/hxr050openalex-snapshot
Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model
inferredcites →https://doi.org/10.1093/imamat/hxy064openalex-snapshot
Large time behaviour and synchronization of complex networks of reaction–diffusion systems of FitzHugh–Nagumo type
inferredcites →https://doi.org/10.1103/physreva.46.6315openalex-snapshot
Interaction of Turing and Hopf bifurcations in chemical systems
inferredcites →https://doi.org/10.1103/physreve.87.022919openalex-snapshot
Experimental study of firing death in a network of chaotic FitzHugh-Nagumo neurons
inferredcites →https://doi.org/10.1109/jrproc.1962.288235openalex-snapshot
An Active Pulse Transmission Line Simulating Nerve Axon
inferredcites →https://doi.org/10.1113/jphysiol.1952.sp004764openalex-snapshot
A quantitative description of membrane current and its application to conduction and excitation in nerve
inferredcites →https://doi.org/10.1137/0517009openalex-snapshot
Standing Wave Solutions for a System Derived from the Fitzhugh–Nagumo Equations for Nerve Conduction
inferredcites →https://doi.org/10.1140/epjb/e2014-50170-9openalex-snapshot
Numerical bifurcation analysis of two coupled FitzHugh-Nagumo oscillators
inferredcites →https://doi.org/10.15388/na.2017.5.2openalex-snapshot
Hopf-pitchfork bifurcation of coupled van der Pol oscillator with delay
inferredcites →https://doi.org/10.3934/mbe.2014.11.203openalex-snapshot
FitzHugh-Nagumo equations with generalized diffusive coupling

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4518059openalex-extracted
Pattern Dynamics Analysis of a Time-Space Discrete Fitzhugh-Nagumo (Fhn) Model Base on Coupled Map Lattices
inferred← citeshttps://doi.org/10.1002/mma.9076openalex-snapshot
Non‐instantaneous impulsive stochastic FitzHugh–Nagumo equation with fractional Brownian motion
inferred← citeshttps://doi.org/10.1007/978-981-99-9907-1_8openalex-snapshot
Delay Effect in Biology
inferred← citeshttps://doi.org/10.1007/s11071-020-05655-xopenalex-snapshot
Analytical and numerical detection of traveling wave and wave-train solutions in a prey–predator model with weak Allee effect
inferred← citeshttps://doi.org/10.1007/s11071-023-08883-zopenalex-snapshot
Spatiotemporal inhomogeneous pattern of a predator–prey model with delay and chemotaxis
inferred← citeshttps://doi.org/10.1007/s11071-026-12417-8openalex-snapshot
Coupled multiplex FitzHugh-Nagumo dynamics: conditions for network-induced Turing patterns
inferred← citeshttps://doi.org/10.1007/s12190-024-02018-2openalex-snapshot
Stable spatially inhomogeneous periodic solutions for a diffusive Leslie–Gower predator–prey model
inferred← citeshttps://doi.org/10.1016/j.camwa.2023.12.030openalex-snapshot
Pattern dynamics analysis of a time-space discrete FitzHugh-Nagumo (FHN) model based on coupled map lattices
inferred← citeshttps://doi.org/10.1016/j.chaos.2021.111483openalex-snapshot
Existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays
inferred← citeshttps://doi.org/10.1016/j.matcom.2025.07.069openalex-snapshot
Spatiotemporal dynamics of a non-smooth reaction–diffusion Wilson neuron model with time delay
inferred← citeshttps://doi.org/10.1016/j.neucom.2025.132455openalex-snapshot
Ergodic dynamics of time-fractional FitzHugh-Nagumo diffusive systems with time delays
inferred← citeshttps://doi.org/10.1063/1.5138231openalex-snapshot
Formation mechanism and application of a three-dimensional pattern in dielectric barrier discharge system
inferred← citeshttps://doi.org/10.1109/tnnls.2024.3442269openalex-snapshot
How Can Anomalous-Diffusion Neural Networks Under Connectomics Generate Optimized Spatiotemporal Dynamics
inferred← citeshttps://doi.org/10.1140/epjs/s11734-025-01612-0openalex-snapshot
Impact of nonlinear boundary conditions on spiral wave formation in reaction–diffusion FitzHugh–Nagumo system
inferred← citeshttps://doi.org/10.1142/s0218127420502156openalex-snapshot
Steady State Bifurcation and Patterns of Reaction–Diffusion Equations
inferred← citeshttps://doi.org/10.1142/s021812742250105xopenalex-snapshot
Turing–Hopf Bifurcation and Its Normal Form in a Diffusive Three-Species Food Chain System with Strong Allee Effect
inferred← citeshttps://doi.org/10.11948/20200182openalex-snapshot
TURING INSTABILITY AND PATTERNS OF THE FITZHUGH-NAGUMO MODEL IN SQUARE DOMAIN
inferred← citeshttps://doi.org/10.31642/jokmc/2018/110208openalex-snapshot
Strong Solutions of the Neuronal Responses System
inferred← citeshttps://doi.org/10.3934/era.2026323openalex-snapshot
Turing bifurcation and linear Hopf threshold in a diffusive predator–prey model with Smith growth and ratio-dependent Holling type Ⅲ functional response
inferred← citeshttps://doi.org/10.3934/mbe.2020201openalex-snapshot
Analysis of dynamic properties on forest restoration-population pressure model
inferred← citeshttps://doi.org/10.9734/jamcs/2024/v39i51890openalex-snapshot
Analysis of Turing Instability of the Fitzhugh-Nagumo Model in Diffusive Network
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