Stationary bistable pulses in discrete inhomogeneous media

DOI10.1080/10236198.2013.800868zbMath1283.39001OpenAlexW2026345983MaRDI QIDQ5746464

Joseph M. Segal, Brian E. Moore

Publication date: 18 February 2014

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.800868

zbMATH Keywords

stabilitytravelling wavepropagation failuresecond-order difference equationdifferential-difference equationFitzHugh-Nagumo equationinhomogeneous diffusionMcKean's caricaturespatially discretemultiple-pulse solutionstationary pulse solution

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30) Stationary solutions of functional-differential equations (34K21)

Related Items (2)

Propagation failure of fronts in discrete inhomogeneous media with a sawtooth nonlinearity ⋮ Blow-up phenomenon for a reaction-diffusion equation with weighted nonlocal gradient absorption terms

Cites Work

• Unnamed Item
• The stability of stationary fronts for a discrete nerve axon model
• Traveling waves in discrete periodic media for bistable dynamics
• The Fredholm alternative for functional-differential equations of mixed type
• The global structure of traveling waves in spatially discrete dynamical systems
• Wave propagation in discrete media
• Waves and bumps in neuronal networks with axo-dendritic synaptic interactions
• Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
• Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence
• Propagation failure of traveling waves in a discrete bistable medium
• Finding stationary fronts for a discrete Nagumo and wave equation; construction
• Nagumo's equation
• Wave propagation and blocking in inhomogeneous media
• Traveling Wave Solutions for Bistable Differential-Difference Equations with Periodic Diffusion
• Front Solutions for Bistable Differential-Difference Equations with Inhomogeneous Diffusion
• On the Propagation of Calcium Waves in an Inhomogeneous Medium
• Traveling Pulse Solutions for the Discrete FitzHugh–Nagumo System
• Multiple impulse solutions to McKean's caricature of the nerve equation. II. Stability
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Existence and Stability of Multiple Impulse Solutions of a Nerve Equation
• WAVE FRONT PROPAGATION AND ITS FAILURE IN COUPLED SYSTEMS OF DISCRETE BISTABLE CELLS MODELLED BY FITZHUGH-NAGUMO DYNAMICS
• Depinning Transitions in Discrete Reaction-Diffusion Equations
• Wave-Block in Excitable Media Due to Regions of Depressed Excitability
• The McKean's Caricature of the Fitzhugh--Nagumo Model I. The Space-Clamped System
• Pulse Propagation in Discrete Systems of Coupled Excitable Cells
• Stability of pulse solutions for the discrete FitzHugh–Nagumo system
• Spatially Discrete FitzHugh--Nagumo Equations
• Kinetics of Martensitic Phase Transitions: Lattice model

This page was built for publication: Stationary bistable pulses in discrete inhomogeneous media