Detection of Hopf Bifurcations in Chemical Reaction Networks Using Convex Coordinates

Co-author(s): Hassan Errami, Markus Eiswirth, Dima Grigoriev, Thomas Sturm and Andreas Weber

Reference: Journal of Computational Physics, 291 (2015) 279--302

Description: We present an approach to the algorithmic detection of Hopf bifurcations (and thus of oscillations) in chemical reaction networks. It combines tools from convex and real algebraic geometry with computational logic and stoichometric network analysis. The paper describes a concrete software environment for such computations and applies it to a number of classical examples. A number of algorithmic improvements allows us to treat examples where before all programmes failed.

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