EVANS FUNCTIONS AND BIFURCATIONS OF STANDING WAVE FRONTS OF A NONLINEAR SYSTEM OF REACTION DIFFUSION EQUATIONS

DOI10.11948/2016037zbMath1463.35400OpenAlexW2203960152MaRDI QIDQ5121330

Linghai Zhang

Publication date: 14 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2016037

zbMATH Keywords

stabilityinstabilityexistencebifurcationEvans functionslinearized stability criterionnonlinear system of reaction diffusion equationsstanding wave fronts

Mathematics Subject Classification ID

Boltzmann equations (35Q20)

Cites Work

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• Threshold phenomena for a reaction-diffusion system
• Traveling waves of infinitely many pulses in nerve equations
• Nagumo's equation
• Stabilization of solutions of a caricature of the fitzhugh-nagumo equation (2)
• Stabilization of solutions of a caricature of the fitzhugh-nagumo equation
• Propagation Phenomena in a Bistable Reaction-Diffusion System
• Stabilization to the standing wave in a simple caricature of the nerve equation
• Existence of Traveling Wave Trains in Nerve Axon Equations
• Existence and Stability of Multiple Impulse Solutions of a Nerve Equation
• Multiple impulse solutions to McKean's caricature of the nerve equation. I—existence

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