27 citations · 144 across the 15 of their papers we have counts for
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math.DS2022★ 4 cited
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…
math.DS2022★ 9 cited
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…
math.DS2022★ 7 cited
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…