Nonuniqueness of stable limit cycles in a class of enzyme catalyzed reactions

DOI10.1016/0022-247X(81)90203-1zbMath0476.92013MaRDI QIDQ1160095

Dieter Erle

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

bifurcationPoincare-Bendixson theorem

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) Physiological, cellular and medical topics (92Cxx) Chemistry (92Exx)

Related Items (6)

Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network ⋮ Qualitative analysis of a generalized system of saturated enzyme reactions ⋮ Periodic solutions and dynamics of a multimolecular reaction system ⋮ Local Bifurcations of the Enzyme-Catalyzed Reaction Comprising a Branched Network ⋮ Bifurcations of a polynomial differential system of degree \(n\) in biochemical reactions ⋮ Degenerate equilibria at infinity in the generalized Brusselator

Cites Work

• The effects of cell density and metabolite flux on cellular dynamics
• The existence of stable limit cycles for enzyme catalyzed reactions with positive feedback
• Stable closed orbits in plane autonomous dynamical systems.

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