The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation
From MaRDI portal
Publication:5872375
DOI10.1088/1361-6544/acb0a8OpenAlexW4317734483WikidataQ123352643 ScholiaQ123352643MaRDI QIDQ5872375
Publication date: 27 January 2023
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.04971
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Related Items
Splitting Reactions Preserves Nondegenerate Behaviors in Chemical Reaction Networks, Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients, The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation, Some minimal bimolecular mass-action systems with limit cycles, Prevalence of Multistationarity and Absolute Concentration Robustness in Reaction Networks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sustained oscillations in the MAP kinase cascade
- Detection of Hopf bifurcations in chemical reaction networks using convex coordinates
- Biochemical systems theory: a review
- Combinatorial approaches to Hopf bifurcations in systems of interacting elements
- Smallest chemical reaction system with Hopf bifurcation
- Identifiability of chemical reaction networks
- Graph-theoretic methods for the analysis of chemical and biochemical networks. I. Multistability and oscillations in ordinary differential equation models
- A criterion for stability of matrices
- Mathematical analysis of the smallest chemical reaction system with Hopf bifurcation
- Planar S-systems: permanence
- Graphical requirements for multistationarity in reaction networks and their verification in BioModels
- Planar S-systems: global stability and the center problem
- Positivity of principal minors, sign symmetry and stability.
- Adding species to chemical reaction networks: preserving rank preserves nondegenerate behaviours
- Compound matrices and ordinary differential equations
- Inheritance of oscillation in chemical reaction networks
- Oscillations and bistability in a model of ERK regulation
- On complex eigenvalues of M and P matrices
- Oscillations in multi-stable monotone systems with slowly varying feedback
- Some Results on Injectivity and Multistationarity in Chemical Reaction Networks
- Cycle Structure in SR and DSR Graphs: Implications for Multiple Equilibria and Stable Oscillation in Chemical Reaction Networks
- Computing Hopf Bifurcations I
- CONSTRUCTION AND CUSTOMIZATION OF STABLE OSCILLATION MODELS IN BIOLOGY
- Limit cycles in mass-conserving deficiency-one mass-action systems
- Multiple Equilibria in Complex Chemical Reaction Networks: II. The Species-Reaction Graph
- Elements of applied bifurcation theory
- Oscillations in planar deficiency-one mass-action systems
