Forced oscillations in an exothermic chemical reaction

DOI10.1080/02681119408806181zbMath0822.34034OpenAlexW1992569745WikidataQ59855553 ScholiaQ59855553MaRDI QIDQ4698254

Lawrence K. Forbes, B. F. Gray

Publication date: 5 October 1995

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119408806181

zbMATH Keywords

chaoschemical reactionoscillationsresonancequasi-periodicityperiod-doubling

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Bifurcation analysis of a discrete-time four-dimensional cubic autocatalator chemical reaction model with coupling through uncatalysed reactant ⋮ A detailed study of the effects of forcing a hydrocarbon oxidation reaction ⋮ TRAVELLING WAVES AND OSCILLATIONS IN SAL’NIKOV’S COMBUSTION REACTION IN A COMPRESSIBLE GAS ⋮ A comparison of two- and three-variable models for combustion in sealed containers

Cites Work

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• New methods for calculating the stability of periodic solutions
• Complex dynamics in a model microbial system
• Analysis of chemical kinetic systems over the entire parameter space - I. The Sal’nikov thermokinetic oscillator
• Period Doubling with Higher-Order Degeneracies
• Forced Transverse Oscillations in a Simple Spring-Mass System
• One-dimensional pattern formation in a model of burning

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