Transition from periodic to non-periodic oscillation observed in a mathematical model of bioconvection by motile micro-organisms
type: Item
instance of: scholarly article
title: Transition from periodic to non-periodic oscillation observed in a mathematical model of bioconvection by motile micro-organisms
zbMATH Open document ID: 0586.92006
DOI: 10.1016/0167-2789(86)90046-1
author: Shin-ichi Fujita
author: Masataka Watanabe
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: Bioconvection observed in a culture of motile micro-organisms was analyzed numerically. The governing equations are the Navier-Stokes equations with the Boussinesq approximation and a diffusion equation for the motile micro-organism. A transition from a static condition to periodic oscillation was observed according to the increase of the Rayleigh number. It was found that the system of bioconvection can lead into chaotic conditions via a single-frequency oscillatory behavior of a sequence of period-doubling bifurcations by increasing the Rayleigh number, which is analogous to Bénard convection.
Mathematics Subject Classification ID: 92B05
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 92F05
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 92C05
zbMATH DE Number: 3941316
zbMATH Keywords: Bioconvection
zbMATH Keywords: culture of motile micro-organisms
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: Boussinesq approximation
zbMATH Keywords: diffusion equation
zbMATH Keywords: periodic oscillation
zbMATH Keywords: Rayleigh number
zbMATH Keywords: period-doubling bifurcations
zbMATH Keywords: Bénard convection
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90046-1
OpenAlex ID: W2068312817
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description: scientific article; zbMATH DE number 3941316