Spontaneous oscillations in two 2-component cells coupled by diffusion
type: Item
instance of: scholarly article
title: Spontaneous oscillations in two 2-component cells coupled by diffusion
zbMATH Open document ID: 0588.92002
DOI: 10.1007/BF00276957
published in: Journal of Mathematical Biology
publication date: 1986-01-01T00:00:00Z
review text: Mathematical examples are presented of oscillators with two variables which oscillate stably when coupled with a twin via diffusion. The mathematical method is a type of singular perturbation theory combined with bifurcation theory. It is shown that all stationary solutions are unstable for appropriate parameter settings. Numerical examples are presented.
Mathematics Subject Classification ID: 92C05
Mathematics Subject Classification ID: 92B05
Mathematics Subject Classification ID: 34D15
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 92F05
zbMATH DE Number: 3945929
zbMATH Keywords: Lefever-Prigogine Brusselator
zbMATH Keywords: glycolytic oscillations
zbMATH Keywords: limit cycles
zbMATH Keywords: stable oscillations
zbMATH Keywords: coupled oscillators
zbMATH Keywords: diffuse instabilities
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: Mathematical examples
zbMATH Keywords: stationary solutions
zbMATH Keywords: Numerical examples
author: James C. Alexander
MaRDI profile type: Publication
Wikidata QID: Q52649540
cites work: Global Bifurcations of Periodic Orbits
cites work: Spatial patterns in coupled biochemical oscillators
cites work: Q3930015
cites work: Q4099448
full work available at URL: https://doi.org/10.1007/bf00276957
OpenAlex ID: W1970953613
description: scientific article; zbMATH DE number 3945929