Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Boros, Balázs"'
In this paper we study bifurcations in mass-action networks with two chemical species and reactant complexes of molecularity no more than two. We refer to these as planar, quadratic networks as they give rise to (at most) quadratic differential equat
Externí odkaz:
http://arxiv.org/abs/2406.13451
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 admitting a local bifurcation of equilibria, assuming only a general tra
Externí odkaz:
http://arxiv.org/abs/2312.12897
Publikováno v:
Studies in Applied Mathematics, 152(1):249-278, 2024
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 study rank-two networks with bimolecular source complexes but allow
Externí odkaz:
http://arxiv.org/abs/2304.02303
Publikováno v:
Applied Mathematics Letters, 143:108671, 2023
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 invariant two-dimensional surface that is filled with periodic orbits surround
Externí odkaz:
http://arxiv.org/abs/2210.06119
Autor:
Banaji, Murad, Boros, Balázs
Publikováno v:
Nonlinearity, 36(2):1398-1433, 2023
We address the question of which small, bimolecular, mass action chemical reaction networks (CRNs) are capable of Andronov-Hopf bifurcation (from here on abbreviated to "Hopf bifurcation"). It is easily shown that any such network must have at least
Externí odkaz:
http://arxiv.org/abs/2207.04971
Autor:
Boros, Balázs, Hofbauer, Josef
Publikováno v:
Nonlinear Analysis: Real World Applications, 72:103839, 2023
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 is unstable for certain rate constants and then exhibits stable limit
Externí odkaz:
http://arxiv.org/abs/2202.11034
Autor:
Boros, Balázs, Hofbauer, Josef
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, 2022(42):1-18, 2022
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 stoichiometric subspace is two-dimensional. Using the continuation softwa
Externí odkaz:
http://arxiv.org/abs/2202.10406
Publikováno v:
Applied Mathematics and Computation, 426:127109, 2022
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 for multiple nondegenerate equilibria and/or periodic orbits. One con
Externí odkaz:
http://arxiv.org/abs/2112.06801
Autor:
Boros, Balázs, Hofbauer, Josef
Publikováno v:
Journal of Dynamics and Differential Equations, 36(1):S175-S197, 2024
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 involving oscillatory behaviour. We present several examples, with centers
Externí odkaz:
http://arxiv.org/abs/2103.00972
Publikováno v:
SIAM Journal on Applied Mathematics, 80(4):1936-1946, 2020
We show that weakly reversible mass-action systems can have a continuum of positive steady states, coming from the zeroes of a multivariate polynomial. Moreover, the same is true of systems whose underlying reaction network is reversible and has a si
Externí odkaz:
http://arxiv.org/abs/1912.10302