Degenerate equilibria at infinity in the generalized Brusselator

DOI10.1016/j.mcm.2004.02.041zbMath1080.92033OpenAlexW2018551062MaRDI QIDQ815313

Deqing Huang, Yilei Tang, Yun Gong, Wei Nian Zhang

Publication date: 16 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2004.02.041

zbMATH Keywords

degeneracychemical oscillationsequilibrium at infinityPoincaré transformationnormal sector

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (2)

Qualitative analysis of a generalized system of saturated enzyme reactions ⋮ Global dynamics of a cubic Hamiltonian system with a periodic annulus linked to equilibria at infinity

Cites Work

• Nonuniqueness of stable limit cycles in a class of enzyme catalyzed reactions
• Note on a model of a biochemical reaction
• The existence of stable limit cycles for enzyme catalyzed reactions with positive feedback
• Harmonic and subharmonic bifurcation in the Brussel model with periodic force
• Periodic solutions and dynamics of a multimolecular reaction system
• Bifurcations of a polynomial differential system of degree \(n\) in biochemical reactions
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