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math.DS2023
The inheritance of local bifurcations in mass action networks
Murad Banaji, Balázs Boros, Josef Hofbauer
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 ad…
math.DS2023
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…