Existence of closed orbits for a differential equation model concerning multi-molecule reactions

DOI10.1007/BF02451369zbMath0774.92010OpenAlexW159083329WikidataQ115392164 ScholiaQ115392164MaRDI QIDQ684860

Wei Nian Zhang

Publication date: 16 September 1993

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02451369

zbMATH Keywords

Hopf bifurcationsclosed orbitsstable limit cyclesbiochemical reaction modelexistence of closed orbitsfine focus

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

Related Items (8)

Qualitative analysis of a generalized system of saturated enzyme reactions ⋮ Analysis of stochastic multimolecular biochemical reaction model with Lévy jumps ⋮ On closed orbits for a class of planar systems of high degree ⋮ Periodic solutions and dynamics of a multimolecular reaction system ⋮ Anticipated backward stochastic differential equations with non-Lipschitz coefficients ⋮ Bogdanov-Takens bifurcation of a polynomial differential system in biochemical reaction ⋮ The dynamics of the stochastic multi-molecule biochemical reaction model ⋮ Bifurcations of a polynomial differential system of degree \(n\) in biochemical reactions

Cites Work

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