Adding species to chemical reaction networks: preserving rank preserves nondegenerate behaviours
From MaRDI portal
Publication:2141170
DOI10.1016/j.amc.2022.127109OpenAlexW4224051457MaRDI QIDQ2141170
Murad Banaji, Balázs Boros, Josef Hofbauer
Publication date: 23 May 2022
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.06801
Classical flows, reactions, etc. in chemistry (92E20) Perturbations of ordinary differential equations (34D10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)
Related Items (4)
Splitting Reactions Preserves Nondegenerate Behaviors in Chemical Reaction Networks ⋮ Graphical characterizations of robust stability in biological interaction networks ⋮ Some minimal bimolecular mass-action systems with limit cycles ⋮ The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global dynamics of the smallest chemical reaction system with Hopf bifurcation
- Combinatorial approaches to Hopf bifurcations in systems of interacting elements
- Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates
- Geometric singular perturbation theory for ordinary differential equations
- Dulac criteria for autonomous systems having an invariant affine manifold
- Concordant chemical reaction networks
- Atoms of multistationarity in chemical reaction networks
- Preclusion of switch behavior in networks with mass-action kinetics
- Inheritance of oscillation in chemical reaction networks
- Oscillations and bistability in a model of ERK regulation
- Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements
- Some Results on Injectivity and Multistationarity in Chemical Reaction Networks
- On the Persistence and Global Stability of Mass-Action Systems
- The Inheritance of Nondegenerate Multistationarity in Chemical Reaction Networks
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Building Oscillatory Chemical Reaction Networks by Adding Reversible Reactions
- Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property
- Über die periodischen Lösungen einer Klasse nichtlinearer autonomer Differentialgleichungssysteme dritter Ordnung
- Invariant manifolds
- Elements of applied bifurcation theory
This page was built for publication: Adding species to chemical reaction networks: preserving rank preserves nondegenerate behaviours