The smallest bimolecular mass-action system with a vertical Andronov–Hopf bifurcation

Article


Banaji, M., Boros, B. and Hofbauer, J. 2023. The smallest bimolecular mass-action system with a vertical Andronov–Hopf bifurcation. Applied Mathematics Letters. 143. https://doi.org/10.1016/j.aml.2023.108671
TypeArticle
TitleThe smallest bimolecular mass-action system with a vertical Andronov–Hopf bifurcation
AuthorsBanaji, M., Boros, B. and Hofbauer, J.
Abstract

We present a three-dimensional differential equation, which robustly displays a degenerate Andronov–Hopf bifurcation of infinite codimension, leading to a center, i.e., an invariant two-dimensional surface that is filled with periodic orbits surrounding an equilibrium. The system arises from a three-species bimolecular chemical reaction network consisting of four reactions. In fact, it is the only such mass-action system that admits a center via an Andronov–Hopf bifurcation.

KeywordsCenter, Center manifold, Constant of motion
Sustainable Development Goals9 Industry, innovation and infrastructure
Middlesex University ThemeCreativity, Culture & Enterprise
LanguageEnglish
PublisherElsevier
JournalApplied Mathematics Letters
ISSN0893-9659
Publication dates
Online06 Apr 2023
PrintSep 2023
Publication process dates
Deposited11 Apr 2023
Submitted05 Feb 2023
Accepted31 Mar 2023
Output statusPublished
Accepted author manuscript
License
Digital Object Identifier (DOI)https://doi.org/10.1016/j.aml.2023.108671
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