Computing Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordinates

DOI10.1007/978-3-642-32973-9_8zbMath1373.92153OpenAlexW1729529160MaRDI QIDQ2914990

Werner M. Seiler, Markus Eiswirth, Hassan Errami, Andreas Weber

Publication date: 21 September 2012

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-32973-9_8

zbMATH Keywords

Hopf bifurcationchemical reaction networksreal closed fields

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23)

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Uses Software

• polymake
• QEPCAD
• REDLOG
• JSBML

Cites Work

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• Deciding Hopf bifurcations by quantifier elimination in a software-component architecture
• A family of sparse polynomial systems arising in chemical reaction systems
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• Investigating Generic Methods to Solve Hopf Bifurcation Problems in Algebraic Biology