We address the question of which small, bimolecular, mass action chemical reaction
networks (CRNs) are capable of Andronov–Hopf bifurcation (from here on abbreviated …

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 …

We investigate the possibility that for any given reaction rate vector $ k $ associated with a
network $ G $, there exists another network $ G'$ with a corresponding reaction rate vector …

A family of results, referred to as inheritance results, tell us which enlargements of a
chemical reaction network (CRN) preserve its capacity for nontrivial behaviours such as …

The dynamics of a chemical reaction network (CRN) is often modeled under the assumption
of mass action kinetics by a system of ordinary differential equations (ODEs) with polynomial …

We present some simple mass-action systems with limit cycles that fall under the scope of
the Deficiency-One Theorem. All the constructed examples are mass-conserving and their …

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 …

The localization of bifurcations in large parametric systems is still a challenge where the
combination of rigorous criteria and informal intuition is often needed. With this motivation …

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 …

Multistationarity is the property of a system to exhibit two distinct equilibria (steady‐states)
under otherwise identical conditions, and it is a phenomenon of recognized importance for …