Front dynamics in heterogeneous diffusive media

DOI10.1016/j.physd.2010.04.008zbMath1207.37041OpenAlexW2043468136MaRDI QIDQ1957100

Hideo Ikeda, Shin-ichiro Ei

Publication date: 24 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2010.04.008

zbMATH Keywords

reaction-diffusion systemsHopf bifurcationfront dynamicsheterogeneous bistable mediastoppage of traveling front waves

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Related Items (9)

Pulse dynamics in reaction–diffusion equations with strong spatially localized impurities ⋮ The stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneities ⋮ Dynamics of two interfaces in a hybrid system with jump-type heterogeneity ⋮ A heteroclinic solution to a variational problem corresponding to FitzHugh-Nagumo type reaction-diffusion system with heterogeneity ⋮ Bifurcation of co-existing traveling wave solutions in a three-component competition-diffusion system ⋮ Existence and Stability of Standing Spot Solutions in a Three-Component FitzHugh–Nagumo System in R² ⋮ Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media ⋮ Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model ⋮ A Geometric Approach to Stationary Defect Solutions in One Space Dimension

Cites Work

• Dynamics of front solutions in a specific reaction-diffusion system in one dimension
• Nerve impulse propagation in a branching nerve system: a simple model
• One way traffic of pulses in a neuron
• Pulse-pulse interaction in reaction-diffusion systems
• Dynamics of traveling pulses in heterogeneous media of jump type
• Wave-Blocking Phenomena in Bistable Reaction-Diffusion Systems
• Singular Limit Analysis of Stability of Traveling Wave Solutions in Bistable Reaction-Diffusion Systems
• Dynamics of traveling pulses in heterogeneous media
• Stability Analysis of Stationary Solutions of Bistable Reaction-Variable Diffusion Systems
• Global bifurcation phenomena of travelling wave solutions for some bistable reaction-diffusion systems

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