Mathematical analysis of the smallest chemical reaction system with Hopf bifurcation

DOI10.1007/BF01165179zbMath0882.34044OpenAlexW2030734556MaRDI QIDQ1360642

Thomas Wilhelm, Reinhart Heinrich

Publication date: 12 March 1998

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01165179

zbMATH Keywords

globally stablebifurcation of a stable limit cyclemultiple equilibrium point

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23)

Related Items (12)

Some minimal bimolecular mass-action systems with limit cycles ⋮ Integrability Analysis of the Smallest 3D Biochemical Reaction Model ⋮ Global dynamics of the smallest chemical reaction system with Hopf bifurcation ⋮ On classes of reaction networks and their associated polynomial dynamical systems ⋮ Translated chemical reaction networks ⋮ Continuous model for the rock-scissors-paper game between bacteriocin producing bacteria ⋮ Chemical systems consisting only of elementary steps -- a paradigma for nonlinear behavior ⋮ Limit Cycles and Bifurcations in a Biological Clock Model ⋮ Analysis of the biological clock of Neurospora ⋮ Turing instabilities at Hopf bifurcation ⋮ Which Small Reaction Networks Are Multistationary? ⋮ The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation

Cites Work

• Smallest chemical reaction system with Hopf bifurcation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On the theory and application of the Hopf-Friedrich Bifurcation theory

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