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
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
File Access Level
Open
Digital Object Identifier (DOI)https://doi.org/10.1016/j.aml.2023.108671
LanguageEnglish
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