Collision of Travelling Waves in a Reaction-Diffusion System with Global Coupling Effect

DOI10.1137/S003613999630664XzbMath0936.35089OpenAlexW2019088193MaRDI QIDQ4237271

Satoshi Kawaguchi, Masayasu Mimura

Publication date: 31 March 1999

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s003613999630664x

zbMATH Keywords

interface dynamicstravelling pulseactivator-inhibitor reaction-diffusion systemradially symmetric localized equilibrium solutions are destabilized

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Related Items (7)

Pulse-pulse interaction in reaction-diffusion systems ⋮ Convolution representation of traveling pulses in reaction-diffusion systems ⋮ Unnamed Item ⋮ Scattering of traveling spots in dissipative systems ⋮ Effects on global coupling of an interface problem in an activator-inhibitor system. ⋮ Noise-induced stabilization of bumps in systems with long-range spatial coupling ⋮ A Hopf bifurcation in a three-component reaction-diffusion system with a chemoattraction

This page was built for publication: Collision of Travelling Waves in a Reaction-Diffusion System with Global Coupling Effect