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

Ghosh, Pushpita ; Ray, Deb Shankar (2011) Amplitude equations for breathing spiral waves in a forced reaction-diffusion system The Journal of Chemical Physics, 135 (10). 104112_1-104112_7. ISSN 0021-9606

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Official URL: http://jcp.aip.org/resource/1/jcpsa6/v135/i10/p104...

Related URL: http://dx.doi.org/10.1063/1.3632992

Abstract

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.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Chlorine Compounds; Iodine; Numerical Analysis; Organic Compounds; Reaction-diffusion Systems; Spatiotemporal Phenomena
ID Code:69930
Deposited On:12 Nov 2011 11:41
Last Modified:12 Nov 2011 11:41

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