On stability and uniqueness of stationary one-dimensional patterns in the Belousov-Zhabotinsky reaction

DOI10.1016/0167-2789(91)90077-MzbMath0739.65102OpenAlexW2029557023WikidataQ59855563 ScholiaQ59855563MaRDI QIDQ1176812

Lawrence K. Forbes

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90077-m

zbMATH Keywords

Galerkin methodnumerical resultschemical reactionsBelousov-Zhabotinsky reactiontruncated Fourier seriesquasi-stabilityOregonator model

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05)

Related Items (3)

Non-smooth feedback control for Belousov-Zhabotinskii reaction-diffusion equations: semi-analytical solutions ⋮ Oscillatory states and patterns formation in a two-cell cubic autocatalytic reaction-diffusion model subjected to the Dirichlet conditions ⋮ Stationary circular target patterns in a surface burning reaction

Cites Work

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• Dispersion of traveling waves in the Belousov-Zhabotinskij reaction
• Stationary patterns of chemical concentration in the Belousov- Zhabotinskij reaction
• Asymptotic methods for relaxation oscillations and applications
• Prolongation structure of the KdV equation in the bilinear form of Hirota
• Limit-cycle behaviour in a model chemical reaction: the Sal’nikov thermokinetic oscillator
• Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media
• ANALYSIS AND IMPROVEMENT OF PERTURBATION SERIES
• The chemical basis of morphogenesis

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