Effects on global coupling of an interface problem in an activator-inhibitor system.

DOI10.1016/j.cam.2003.08.029zbMath1055.35149OpenAlexW2076247565MaRDI QIDQ1421239

Sang-Gu Lee, YoonMee Ham

Publication date: 26 January 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.08.029

zbMATH Keywords

Hopf bifurcationInterfaceActivator-inhibitorGlobal coupling

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

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• Higher-dimensional localized patterns in excitable media
• Internal layer oscillations in FitzHugh-Nagumo equation
• Transition from pulsating to rocking localized structures in nonlinear dissipative distributive media with global inhibition
• A Hopf bifurcation in a parabolic free boundary problem
• Layer Oscillations in Reaction-Diffusion Systems
• Stability of Singularly Perturbed Solutions to Systems of Reaction-Diffusion Equations
• Multiple Solutions of Two-Point Boundary Value Problems of Neumann Type with a Small Parameter
• Generation and Propagation of Interfaces in Reaction-Diffusion Systems
• Collision of Travelling Waves in a Reaction-Diffusion System with Global Coupling Effect
• A HOPF BIFURCATION IN A FREE BOUNDARY PROBLEM DEPENDING ON THE SPATIAL AVERAGE OF AN ACTIVATOR
• Pulse dynamics in a reaction-diffusion system

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