Limit-cycle behaviour in a model chemical reaction: The cubic autocatalator

DOI10.1007/BF00129873zbMath0719.34047OpenAlexW2012118731MaRDI QIDQ2640017

Lawrence K. Forbes, Catherine A. Holmes

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf00129873

zbMATH Keywords

chemical reactionLimit cyclesNumerical solutionstime-periodic oscillationscombination of analytic and numerical methodsstable to infinitesimal perturbations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Classical flows, reactions, etc. in chemistry (92E20) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical analysis in abstract spaces (65J99)

Related Items (6)

A cubic autocatalator chemical reaction model with limit cycle analysis and consistency preserving discretization ⋮ Spatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis model ⋮ Stationary patterns in a two-cell coupled isothermal chemical system with arbitrary powers of autocatalysis ⋮ Stability, Discretization, and Bifurcation Analysis for a Chemical Reaction System ⋮ An exothermic chemical reaction with linear feedback control ⋮ Novel phase-fitted symmetric splitting methods for chemical oscillators

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• Oscillations of simple exothermic reactions in a closed system. II. Exact Arrhenius kinetics
• A method for the complete qualitative analysis of two coupled ordinary differential equations dependent on three parameters

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