The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation
We address the question of which small, bimolecular, mass action chemical reaction
networks (CRNs) are capable of Andronov–Hopf bifurcation (from here on abbreviated …
networks (CRNs) are capable of Andronov–Hopf bifurcation (from here on abbreviated …
Oscillations in three‐reaction quadratic mass‐action systems
It is known that rank‐two bimolecular mass‐action systems do not admit limit cycles. With a
view to understanding which small mass‐action systems admit oscillation, in this paper we …
view to understanding which small mass‐action systems admit oscillation, in this paper we …
The inheritance of local bifurcations in mass action networks
We consider local bifurcations of equilibria in dynamical systems arising from chemical
reaction networks with mass action kinetics. In particular, given any mass action network …
reaction networks with mass action kinetics. In particular, given any mass action network …
Planar chemical reaction systems with algebraic and non-algebraic limit cycles
The Hilbert number $ H (n) $ is defined as the maximum number of limit cycles of a planar
autonomous system of ordinary differential equations (ODEs) with right-hand sides …
autonomous system of ordinary differential equations (ODEs) with right-hand sides …