Global bifurcations in a simple, autocatalytic reaction

DOI10.1080/02681119008806092zbMath0719.34070OpenAlexW2040895461MaRDI QIDQ5751197

Steven R. Kay

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/02681119008806092

zbMATH Keywords

bifurcation analysisautocatalytic reactionhomoclinic bifurcationspath-followingdynamics of a chemical oscillatorglobal bifurcations of limit cycles

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Uses Software

• AUTO-86
• Unnamed Item

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcation formulae derived from center manifold theory
• Classification and unfoldings of degenerate Hopf bifurcations
• Multiple stationary states, sustained oscillations and transient behaviour in autocatalytic reaction-diffusion equations
• Systematics of the Lorenz Model at σ = 10

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