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

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.

References in corpus (2)

• The smallest bimolecular mass action reaction networks admitting Andronov-Hopf bifurcation
• Limit cycles in mass-conserving deficiency-one mass-action systems

Cited by in corpus (2)

• The smallest bimolecular mass action reaction networks admitting Andronov-Hopf bifurcation
• The inheritance of local bifurcations in mass action networks