Quantitative analysis of the Hopf bifurcation in the Goodwin n- dimensional metabolic control system
type: Item
instance of: scholarly article
title: Quantitative analysis of the Hopf bifurcation in the Goodwin n- dimensional metabolic control system
zbMATH Open document ID: 0732.92003
DOI: 10.1007/BF00160189
author: G. Treu
author: Sergio Invernizzi
published in: Journal of Mathematical Biology
publication date: 1991-01-01T00:00:00Z
Mathematics Subject Classification ID: 92C40
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 4211843
zbMATH Keywords: bifurcation formulae
zbMATH Keywords: metabolic control systems
zbMATH Keywords: feedback control
zbMATH Keywords: dynamics of end-product inhibition of gene activity
zbMATH Keywords: positive equilibrium
zbMATH Keywords: Goodwin system
zbMATH Keywords: Hopf bifurcation of nontrivial periodic solutions
zbMATH Keywords: Hill coefficient
Wikidata QID: Q52461668
MaRDI profile type: Publication
cites work: Harmonic balance and the Hopf bifurcation
cites work: Q3930015
cites work: Existence of periodic solutions for negative feedback cellular control systems
cites work: Q5751196
cites work: On lags and chaos in economic dynamic models
cites work: Q3931724
cites work: Q4189109
cites work: Q1233671
cites work: Periodic metabolic systems: Oscillations in multiple-loop negative feedback biochemical control networks
cites work: On the theory and application of the Hopf-Friedrich Bifurcation theory
cites work: Infinite-dimensional dynamical systems in mechanics and physics
cites work: On the existence of oscillatory solutions in negative feedback cellular control processes
description: scientific article; zbMATH DE number 4211843