27 citations · 144 across the 15 of their papers we have counts for
11 papers · 1 filter
Oscillations in three-reaction quadratic mass-action systems
Murad Banaji, Balázs Boros, Josef Hofbauer
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 w…
The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation
Murad Banaji, Balázs Boros, Josef Hofbauer
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 invarian…
Limit cycles in mass-conserving deficiency-one mass-action systems
Balázs Boros, Josef Hofbauer
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 sto…
Some minimal bimolecular mass-action systems with limit cycles
Balázs Boros, Josef Hofbauer
We discuss three examples of bimolecular mass-action systems with three species, due to Feinberg, Berner, Heinrich, and Wilhelm. Each system has a unique positive equilibrium which…
Adding species to chemical reaction networks: preserving rank preserves nondegenerate behaviours
Murad Banaji, Balázs Boros, Josef Hofbauer
We show that adding new chemical species into the reactions of a chemical reaction network (CRN) in such a way that the rank of the network remains unchanged preserves its capacity…
Oscillations in planar deficiency-one mass-action systems
Balázs Boros, Josef Hofbauer
Whereas the positive equilibrium of a mass-action system with deficiency zero is always globally stable, for deficiency-one networks there are many different scenarios, mainly invo…
Permanence of Weakly Reversible Mass-Action Systems with a Single Linkage Class
Balázs Boros, Josef Hofbauer
We give a new proof of the fact that each weakly reversible mass-action system with a single linkage class is permanent.
Planar S-systems: Permanence
Balázs Boros, Josef Hofbauer
We characterize permanence of planar S-systems. Further, we construct a planar S-system with three limit cycles.
Planar S-systems: Global stability and the center problem
Balázs Boros, Josef Hofbauer, Stefan Müller +1
S-systems are simple examples of power-law dynamical systems (polynomial systems with real exponents). For planar S-systems, we study global stability of the unique positive equili…
The center problem for the Lotka reactions with generalized mass-action kinetics
Balázs Boros, Josef Hofbauer, Georg Regensburger +1
Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions and the resulting planar…
On global stability of the Lotka reactions with generalized mass-action kinetics
Balázs Boros, Josef Hofbauer, Stefan Müller
Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions with two chemical species…