Statics and dynamics of multiple cubic autocatalytic reactions
type: Item
instance of: scholarly article
title: Statics and dynamics of multiple cubic autocatalytic reactions
zbMATH Open document ID: 0967.34043
DOI: 10.1016/S0167-2789(00)00085-3
author: Fouad Teymour
author: İnanç Birol
published in: Physica D
publication date: 2001-08-30T00:00:00Z
review text: Static and dynamic properties of a multiple cubic autocatalytic reaction in an isothermal continuous stirred tank reactor are under consideration. The analysis of this system is based on the bifurcation theory. The system dynamics studies revealed interesting phenomena, such as building up of self-sustained oscillations, prolonged competitions and poisonous effect.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 92C45
zbMATH DE Number: 1538264
zbMATH Keywords: bifurcation
zbMATH Keywords: autocatalytic reaction
zbMATH Keywords: multistability
zbMATH Keywords: oscillations
reviewed by: I. V. Andrianov
describes a project that uses: Mathematica
describes a project that uses: EcoLab
describes a project that uses: Maple
describes a project that uses: CONTENT
MaRDI profile type: Publication
cites work: A model equation arising from chemical reactor theory
cites work: Chaos, intermittency and hysteresis in the dynamic model of a polymerization reactor
cites work: Existence and stability of propagating fronts for an autocatalytic reaction-diffusion system
cites work: Small autocatalytic reaction networks. III: Monotone growth functions
cites work: Dynamics of small autocatalytic reaction networks. II: Replication, mutation and catalysis
cites work: Selection dynamics in autocatalytic systems: Templates replicating through binary ligation
cites work: Chance and necessity in evolution: lessons from RNA
cites work: Evolutionary selection against dominated strategies
cites work: Learning through reinforcement and replicator dynamics
cites work: Using lazy evaluation to simulate realistic-size repertoires in models of the immune system
cites work: Shaken not stirred: On permanence in ecological communities
cites work: Q4363526
cites work: Q3992992
cites work: Autocatalytic replication in a CSTR and constant organization
cites work: Q4244407
full work available at URL: s0167-2789(00)00085-3
OpenAlex ID: W2002116661
description: scientific article; zbMATH DE number 1538264