Nucleation in the FitzHugh-Nagumo system: Interface-spike solutions
type: Item
instance of: scholarly article
title: Nucleation in the FitzHugh-Nagumo system: Interface-spike solutions
zbMATH Open document ID: 1072.35037
author: Xiaofeng Ren
author: Juncheng Wei
published in: Journal of Differential Equations
publication date: 2005-02-22T00:00:00Z
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35J55
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 2136115
zbMATH Keywords: Lyapunov-Schmidt reduction
zbMATH Keywords: Newton iteration
MaRDI profile type: Publication
full work available at URL: j.jde.2004.08.019
OpenAlex ID: W2028365960
cites work: Finite dimensional dynamics and interfaces intersecting the boundary: Equilibria and the quasi-invariant manifold
cites work: Critical points of a singular perturbation problem via reduced energy and local linking
cites work: Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability.
cites work: Equilibria with many nuclei for the Cahn-Hilliard equation
cites work: Existence and instability of spike layer solutions to singular perturbation problems
cites work: Multipeak solutions for a singularly perturbed Neumann problem
cites work: Interior and Boundary Peak Solutions for a Mixed Boundary Value Problem
cites work: A minimization problem associated with elliptic systems of FitzHugh--Nagumo type
cites work: The Nishiura-Ohnishi free boundary problem in the 1D case
cites work: Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
cites work: Multiple interior peak solutions for some singularly perturbed Neumann problems.
cites work: On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
cites work: A remark on singular perturbation methods
cites work: Standing Wave Solutions for a System Derived from the Fitzhugh–Nagumo Equations for Nerve Conduction
cites work: Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold
cites work: Multiple Solutions of Two-Point Boundary Value Problems of Neumann Type with a Small Parameter
cites work: Q4284483
cites work: Stability of Singularly Perturbed Solutions to Systems of Reaction-Diffusion Equations
cites work: Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
cites work: On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
cites work: Standing pulse solutions for the FitzHugh-Nagumo equations
cites work: Solutions with internal jump for an autonomous elliptic system of FitzHugh–Nagumo type
cites work: Stationary solutions for the Cahn-Hilliard equation
cites work: On the Modular Representation Theory of the Two-Dimensional Special Linear Group Over an Algebraically Closed Field
DOI: 10.1016/J.JDE.2004.08.019
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description: scientific article; zbMATH DE number 2136115