Microbial predation in coupled chemostats: A global study of two coupled nonlinear oscillators
type: Item
instance of: scholarly article
title: Microbial predation in coupled chemostats: A global study of two coupled nonlinear oscillators
zbMATH Open document ID: 0802.92028
DOI: 10.1016/0025-5564(94)90081-7
author: Mark A. Taylor
author: I. G. Kevrekidis
author: S. Pavlou
published in: Mathematical Biosciences
publication date: 1994-12-11T00:00:00Z
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 65L07
Mathematics Subject Classification ID: 65L99
zbMATH DE Number: 665739
zbMATH Keywords: predator-prey systems
zbMATH Keywords: continuously operated chemostats
zbMATH Keywords: sustained oscillations
zbMATH Keywords: flow exchange
zbMATH Keywords: oscillation frequencies
zbMATH Keywords: numerical bifurcation techniques
zbMATH Keywords: resonance phenomena
zbMATH Keywords: mutual extinction
zbMATH Keywords: phase portraits
zbMATH Keywords: coupled nonlinear chemical oscillators
zbMATH Keywords: Arnol'd structure
Wikidata QID: Q52374392
describes a project that uses: AUTO-86
describes a project that uses: ODESSA
describes a project that uses: AUTO
MaRDI profile type: Publication
full work available at URL: 0025-5564(94)90081-7
OpenAlex ID: W1992382190
cites work: An analytical and numerical study of the bifurcations in a system of linearly-coupled oscillators
cites work: Amplitude response of coupled oscillators
cites work: Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
cites work: Periodic solutions and locking-in on the periodic surface
cites work: Q3335583
cites work: Q4749133
cites work: Perturbation of a Hopf bifurcation by an external time-periodic forcing
cites work: Resonance Zones in Two-Parameter Families of Circle Homeomorphisms
cites work: Competition in the gradostat
cites work: Q3703206
cites work: Algorithm 658
cites work: Periodic solutions of a perturbed autonomous system
cites work: Phase shift and locking-in regions
cites work: Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies
cites work: The necessity of the Hopf bifurcation for periodically forced oscillators
cites work: Competition in the gradostat: The role of the communication rate
cites work: Singularities of vector fields
cites work: Some common dynamic features of coupled reacting systems
cites work: Bifurcation phenomena in coupled chemical oscillators: normal form analysis and numerical simulations
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description: scientific article; zbMATH DE number 665739