The smallest bimolecular mass-action system with a vertical Andronov–Hopf bifurcation
Banaji, Murad 
ORCID: https://orcid.org/0000-0002-4983-0377, Boros, Balázs ORCID: https://orcid.org/0000-0001-5417-4565 and Hofbauer, Josef
(2023)
The smallest bimolecular mass-action system with a vertical Andronov–Hopf bifurcation.
Applied Mathematics Letters, 143
, 108671.
ISSN 0893-9659
[Article]
(doi:10.1016/j.aml.2023.108671)
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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.
| Item Type: | Article |
|---|---|
| Sustainable Development Goals: | |
| Theme: | |
| Keywords (uncontrolled): | Center, Center manifold, Constant of motion |
| Research Areas: | A. > School of Science and Technology > Design Engineering and Mathematics |
| Item ID: | 37784 |
| Depositing User: | Jisc Publications Router |
| Date Deposited: | 11 Apr 2023 08:21 |
| Last Modified: | 24 Apr 2023 09:07 |
| URI: | https://eprints.mdx.ac.uk/id/eprint/37784 |
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