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
Type | Article |
---|---|
Title | The smallest bimolecular mass-action system with a vertical Andronov–Hopf bifurcation |
Authors | Banaji, 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. |
Keywords | Center; Center manifold; Constant of motion |
Sustainable Development Goals | 9 Industry, innovation and infrastructure |
Middlesex University Theme | Creativity, Culture & Enterprise |
Publisher | Elsevier |
Journal | Applied Mathematics Letters |
ISSN | 0893-9659 |
Publication dates | |
Online | 06 Apr 2023 |
Sep 2023 | |
Publication process dates | |
Deposited | 11 Apr 2023 |
Submitted | 05 Feb 2023 |
Accepted | 31 Mar 2023 |
Output status | Published |
Accepted author manuscript | License File Access Level Open |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.aml.2023.108671 |
Language | English |
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Accepted author manuscript
1-s2.0-S0893965923001039-main.pdf | ||
License: CC BY 4.0 | ||
File access level: Open |
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