An exothermic chemical reaction with linear feedback control

DOI10.1080/02681119608806225zbMath0864.92018OpenAlexW1997793252MaRDI QIDQ5689150

Lawrence K. Forbes, M. Jane Sexton

Publication date: 12 June 1997

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

Full work available at URL: https://doi.org/10.1080/02681119608806225

zbMATH Keywords

nonlinear controllimit cyclessteady-state solutionslinear controlHopf conditionexothermic Sal'nikov chemical reactionoscillations in temperature

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) Application models in control theory (93C95)

Related Items (2)

A study of the dynamics of a continuously stirred tank reactor with feedback control of the temperature ⋮ Bifurcation phenomena for an oxidation reaction in a continuously stirred tank reactor. II Diabatic operation

Cites Work

• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Limit-cycle behaviour in a model chemical reaction: The cubic autocatalator
• On the presence of limit-cycles in a model exothermic chemical reaction: Sal’nikov’s oscillator with two temperature-dependent reaction rates
• Limit-cycle behaviour in a model chemical reaction: the Sal’nikov thermokinetic oscillator
• Controlling chaos
• A note on oscillations in a simple model of a chemical reaction

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