The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation
Dynamical Systems
2023-04-25 v1
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
Cite
@article{arxiv.2210.06119,
title = {The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation},
author = {Murad Banaji and Balázs Boros and Josef Hofbauer},
journal= {arXiv preprint arXiv:2210.06119},
year = {2023}
}