Amplitude equations for breathing spiral waves in a forced reaction-diffusion system

Based on a multiple scale analysis of a forced reaction-diffusion system leading to amplitude equations, we explain the existence of spiral wave and its photo-induced spatiotemporal behavior in chlorine dioxide-iodine-malonic acid system. When the photo-illumination intensity is modulated, breathing...

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Bibliographic Details
Published in:The Journal of chemical physics 2011-09, Vol.135 (10), p.104112-104112-7
Main Authors: Ghosh, Pushpita, Ray, Deb Shankar
Format: Article
Language:English
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Summary:Based on a multiple scale analysis of a forced reaction-diffusion system leading to amplitude equations, we explain the existence of spiral wave and its photo-induced spatiotemporal behavior in chlorine dioxide-iodine-malonic acid system. When the photo-illumination intensity is modulated, breathing of spiral is observed in which the period of breathing is identical to the period of forcing. We have also derived the condition for breakup and suppression of spiral wave by periodic illumination. The numerical simulations agree well with our analytical treatment.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.3632992