A simple model for sustained oscillations in isothermal branched-chain or autocatalytic reactions in a well stirred open system I. Stationary states and local stabilities

DOI10.1098/rspa.1985.0026zbMath0606.92029OpenAlexW2017166798MaRDI QIDQ3745689

David John Needham, Stephen K. Scott, John H. Merkin

Publication date: 1985

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1985.0026

zbMATH Keywords

limit cycles kinetic model Hopf-bifurcation sustained oscillations autocatalytic reactions stationary state solutions local stability analysis saturation effects branched-chain reaction dimensionless residence time large surface effects mass-balance equations quadratic autocatalytic model well stirred open system

Mathematics Subject Classification ID

Chemical kinetics in thermodynamics and heat transfer (80A30) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for smooth dynamical systems (37C75) Chemistry (92Exx)

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