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

Banaji, Murad ORCID logoORCID:, Boros, Balázs ORCID logoORCID: 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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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:
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

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