Multistability, oscillations and chaos in an exothermic branched-chain reaction model

DOI10.1080/02681119308806163zbMath0791.92026OpenAlexW2080303406MaRDI QIDQ4286991

Stephen K. Scott, Junli Liu

Publication date: 11 July 1994

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

Full work available at URL: https://doi.org/10.1080/02681119308806163

zbMATH Keywords

Hopf bifurcationsextinctionperiodic oscillationsautocatalysisignitionchaotic responseshysteresis loopadiabatic conditionsradical terminationsecondary bifurcationsbranched-chain reactionperiodic-doublingArrhenius temperature dependencecombustion reactionsisola responsesnon-adiabatic reactorstationary state bifurcation diagramswell-stirred flow reactor

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) Chemical kinetics in thermodynamics and heat transfer (80A30)

Related Items (1)

Chaos, coexistence of attractors and fractal basin boundaries of attraction in a model system coupling activation and inhibition in parallel

Cites Work

• The application of singularity theory to isothermal autocatalytic open systems: the elementary scheme A +mB = (m+ 1)B
• 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
• A simple model for sustained oscillations in isothermal branched-chain or autocatalytic reactions in a well stirred open system - II. Limit cycles and non-stationary states
• A theory for imperfect bifurcation via singularity theory

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