Oscillations in planar deficiency-one mass-action systems

DOI10.1007/s10884-021-10051-zarXiv2103.00972WikidataQ115383033 ScholiaQ115383033MaRDI QIDQ6196019

Josef Hofbauer, Balázs Boros

Publication date: 14 March 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.00972

zbMATH Keywords

limit cyclesreversible systemscentersLiénard systemsmass-action kineticsdeficiency one

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Kinematics of a particle (70B05)

Related Items (1)

The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation

Cites Work

• Unnamed Item
• Notes on the deficiency-one theorem: multiple linkage classes
• Limit cycles of differential equations
• The center problem for the Lotka reactions with generalized mass-action kinetics
• The existence and uniqueness of steady states for a class of chemical reaction networks
• On the dependence of the existence of the positive steady states on the rate coefficients for deficiency-one mass action systems: single linkage class
• Qualitative theory of planar differential systems
• Persistence and Permanence of Mass-Action and Power-Law Dynamical Systems

This page was built for publication: Oscillations in planar deficiency-one mass-action systems