Chemical Waves and the Diffusive Coupling of Limit Cycle Oscillators

DOI10.1137/0136038zbMath0418.35013OpenAlexW2086654563MaRDI QIDQ3209046

John C. Neu

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1137/0136038

zbMATH Keywords

nonlinear equationsingular perturbation techniqueslimit cycle oscillatorsoscillating chemical reactionBelusov-Zhabotinskii reaction

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Chemistry (92Exx)

Related Items (15)

Calcium dynamics and water transport in salivary acinar cells ⋮ Spike width and frequency alter stability of phase-locking in electrically coupled neurons ⋮ Stability analysis of synchronous oscillations in a weakly coupled integrodifferential system ⋮ Chemical reactor theory and problems in diffusion ⋮ Agonist-induced calcium waves in oscillatory cells: A biological example of Burgers' equation ⋮ Target patterns in reaction-diffusion systems ⋮ Target pattern solutions to reaction-diffusion equations in the presence of impurities ⋮ Effect of Phase Response Curve Skewness on Synchronization of Electrically Coupled Neuronal Oscillators ⋮ Effect of Phase Response Curve Shape and Synaptic Driving Force on Synchronization of Coupled Neuronal Oscillators ⋮ On stability of nonhomogeneous periodic solutions to reaction-diffusion equations ⋮ Calcium wave propagation by calcium-induced calcium release: An unusual excitable system ⋮ Multi-species interactions with hereditary effects and spatial diffusion ⋮ Wave trains, self-oscillations and synchronization in discrete media ⋮ Target patterns and spiral waves in reaction-diffusion systems with limit cycle kinetics and weak diffusion ⋮ Resonance in Periodically Perturbed Hopf Bifurcation

This page was built for publication: Chemical Waves and the Diffusive Coupling of Limit Cycle Oscillators