Coexistence of a pulse and multiple spikes and transition layers in the standing waves of a reaction-diffusion system

DOI10.1016/j.jde.2004.06.017zbMath1058.35112OpenAlexW1988430989MaRDI QIDQ1887551

Fu Zhang

Publication date: 22 November 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.06.017

zbMATH Keywords

standing wavestopological shooting plan

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57)

Related Items (9)

Singularly perturbed differential-difference reaction diffusion equations with time delay ⋮ Singularly perturbed solution for third order nonlinear equations with two parameters ⋮ Solvability for nonlinear elliptic equation with boundary perturbation ⋮ Singularly perturbed solution for weakly nonlinear equations with two parameters ⋮ Singular perturbation for the weakly nonlinear reaction diffusion equation with boundary perturbation ⋮ A class of nonlinear singularly perturbed initial boundary value problems for reaction diffusion equations with boundary perturbation ⋮ Solvability for nonlinear reaction diffusion equation with boundary perturbation ⋮ Singularly perturbed solution to semilinear reaction diffusion equations with two parameters ⋮ Asymptotic solution of activator inhibitor systems for nonlinear reaction diffusion equations

Cites Work

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• Geometric singular perturbation theory for ordinary differential equations
• Existence of standing pulse solutions for an excitable activator- inhibitory system
• Tracking invariant manifolds with differential forms in singularly perturbed systems
• Existence of standing pulse solutions to an inhomogeneous reaction-diffusion system
• The existence of similar solutions for some laminar boundary layer problems
• Modern Mathematics and the School Curriculum
• Stability, bifurcations and edge oscillations in standing pulse solutions to an inhomogeneous reaction-diffusion system
• Large Amplitude Stationary Waves in an Excitable Lateral-Inhibitory Medium
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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