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arXiv · 1109.5204

Global Dynamics of the smallest Chemical Reaction System with Hopf Bifurcation

Hal L. Smith
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Abstract

The global behavior of solutions is described for the smallest chemical reaction system that exhibits a Hopf bifurcation, discovered in \cite{WH1}. This three-dimensional system is a competitive system and a monotone cyclic feedback system. The Poincaré-Bendixson theory extends to such systems \cite{MS,H0,HS,S} and a Bendixson criterion exists to rule out periodic orbits \cite{LM}.

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Hal L. Smith. 2011-09-23. Global Dynamics of the smallest Chemical Reaction System with Hopf Bifurcation. https://arxiv.org/abs/1109.5204

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