Front dynamics in heterogeneous diffusive media
type: Item
instance of: scholarly article
title: Front dynamics in heterogeneous diffusive media
zbMATH Open document ID: 1207.37041
author: Hideo Ikeda
author: Shin-Ichiro Ei
published in: Physica D
publication date: 2010-09-24T00:00:00Z
review text: Specific bistable reaction-diffusion systems are considered. These systems have stable traveling front solution in homogeneous media. It is introduced a simple heterogeneity in these systems and presented four different front dynamics of PDE systems. The PDE dynamics are reduced to finite-dimensional ODE systems on a center manifold and the mathematical mechanism for producing the four types of response in the PDE systems using finite-dimensional ODE systems are presented.
Mathematics Subject Classification ID: 37G40
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 5791152
zbMATH Keywords: reaction-diffusion systems
zbMATH Keywords: front dynamics
zbMATH Keywords: heterogeneous bistable media
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: stoppage of traveling front waves
reviewed by: A. P. Sadovskiĭ
MaRDI profile type: Publication
full work available at URL: j.physd.2010.04.008
OpenAlex ID: W2043468136
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DOI: 10.1016/J.PHYSD.2010.04.008
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description: scientific article; zbMATH DE number 5791152