Spiral waves in the Belousov-Zhabotinskii reaction
type: Item
instance of: scholarly article
title: Spiral waves in the Belousov-Zhabotinskii reaction
zbMATH Open document ID: 0611.35041
DOI: 10.1016/0167-2789(86)90007-2
author: James P. Keener
author: John J. Tyson
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: The beautiful spiral waves of oxidation in the Belousov-Zhabotinskii reaction are the source of many interesting and important questions about periodic structures in excitable media. It has long been known that these spirals are similar to involutes of circles, at least some distance from the center, but until now, no way has been known to determine the correct wavelength and frequency. In this paper, we show that the parameters of a spiral wave can be viewed as eigenvalues of a problem with unique solution. The critical ingredients of the theory are the effects of curvature on the propagation of wave-fronts in two-dimensional media, and the dispersion of plane waves. Our analytical results are shown to be in good agreement with experimental data for the Belousov-Zhabotinskii reaction.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 80A32
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 3987814
zbMATH Keywords: spiral waves
zbMATH Keywords: Belousov-Zhabotinskii reaction
zbMATH Keywords: periodic structures
zbMATH Keywords: excitable media
zbMATH Keywords: eigenvalues
zbMATH Keywords: propagation of wave-fronts
zbMATH Keywords: dispersion of plane waves
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90007-2
OpenAlex ID: W1967133576
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cites work: Q4887286
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description: scientific article; zbMATH DE number 3987814