Planar S-systems: global stability and the center problem

DOI10.3934/dcds.2019029zbMath1421.34038arXiv1707.02104OpenAlexW2962882630WikidataQ128929656 ScholiaQ128929656MaRDI QIDQ1757417

Josef Hofbauer, Balázs Boros, Georg Regensburger, Stefan Müller

Publication date: 4 January 2019

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

Full work available at URL: https://arxiv.org/abs/1707.02104

zbMATH Keywords

global stabilityplanar systemglobal centerpower-law system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Global stability of solutions to ordinary differential equations (34D23)

Related Items (4)

Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems ⋮ A generalization of Birch's theorem and vertex-balanced steady states for generalized mass-action systems ⋮ On the Bijectivity of Families of Exponential/Generalized Polynomial Maps ⋮ The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation

Uses Software

• Maple

Cites Work

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• Biochemical systems theory: a review
• The center problem for the Lotka reactions with generalized mass-action kinetics
• On global stability of the Lotka reactions with generalized mass-action kinetics
• Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents (Invited Talk)
• CONSTRUCTION AND CUSTOMIZATION OF STABLE OSCILLATION MODELS IN BIOLOGY
• The Center and Cyclicity Problems
• Reversible Diffeomorphisms and Flows
• Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces
• Elements of applied bifurcation theory

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