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Note on a model of a biochemical reaction

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Publication:1252455
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DOI10.1016/0022-247X(78)90238-XzbMath0393.34016MaRDI QIDQ1252455

Nelson Wax, Peter J. Ponzo

Publication date: 1978

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


zbMATH Keywords

Biochemical ReactionLienard EquationStable Limit Cycle


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Physiological, cellular and medical topics (92Cxx) Chemistry (92Exx)


Related Items (4)

Early models of chemical oscillations failed to provide bounded solutions ⋮ Periodic behavior of the stochastic Brusselator in the mean-field limit ⋮ Bifurcations of a polynomial differential system of degree \(n\) in biochemical reactions ⋮ Degenerate equilibria at infinity in the generalized Brusselator



Cites Work

  • Unnamed Item
  • Chemical instabilities and sustained oscillations
  • Asymptotic calculation of a limit cycle
  • Bifurcation of Localized Disturbances in a Model Biochemical Reaction
  • On certain relaxation oscillations: Confining regions
  • On Certain Relaxation Oscillations: Asymptotic Solutions


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