Stable pattern and standing wave formation in a simple isothermal cubic autocatalytic reaction scheme

DOI10.1007/BF00043976zbMath0847.35064OpenAlexW2054456224MaRDI QIDQ1905554

Yanyan Li

Publication date: 8 October 1996

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00043976

zbMATH Keywords

path-following methodcubic autocatalysis

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Bifurcations in context of PDEs (35B32)

Related Items (7)

Stability and pattern formation in a coupled arbitrary order of autocatalysis system ⋮ Qualitative analysis on positive steady-state solutions for an autocatalysis model with high order ⋮ Bifurcation and pattern formation in a coupled higher autocatalator reaction diffusion system ⋮ Parameter space analysis, pattern sensitivity and model comparison for Turing and stationary flow-distributed waves (FDS) ⋮ Spatio-temporal structures in a differential flow reactor with cubic autocatalator kinetics ⋮ Steady-state solutions and stability for a cubic autocatalysis model ⋮ The development of spatial structure in an ionic chemical system induced by applied electric fields

Cites Work

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• Reaction-diffusion in a simple pooled chemical system
• Pattern formation through reaction and diffusion in a simple pooled-chemical system
• The application of singularity theory to isothermal autocatalytic open systems: the elementary scheme A +mB = (m+ 1)B
• On the Creation, Growth and Extinction of Oscillatory Solutions for a Simple Pooled Chemical Reaction Scheme
• Analysis of chemical kinetic systems over the entire parameter space - II. Isothermal oscillators
• Numerical perturbation solutions for the vibrations of prestressed, clamped cylindrical shells

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