Phase portraits of the Selkov model in the Poincaré disc

DOI10.3934/DCDSB.2022056OpenAlexW4220929588MaRDI QIDQ2082010

Jaume Llibre, Arefeh Nabavi

Publication date: 30 September 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022056

zbMATH Keywords

phase portraitSelkov modelPoincaré compactification

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) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Dynamics of the Selkov oscillator
• Semi-analytical solutions for the reversible Selkov model with feedback delay
• Proof of Artés-Llibre-Valls's conjectures for the Higgins-Selkov and the Selkov systems
• Bifurcation analysis and chaos control in discrete-time glycolysis models
• Dynamics of the Higgins-Selkov and Selkov systems
• Organization of the periodicity in the parameter-space of a glycolysis discrete-time mathematical model
• Qualitative theory of planar differential systems
• Classification of Continuous Flows on 2-Manifolds
• A SURVEY ON THE BLOW UP TECHNIQUE
• Global Structure of Ordinary Differential Equations in the Plane
• Elements of applied bifurcation theory

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