Breathing Spots in a Reaction-Diffusion System
patt-sol
2009-10-30 v1 Pattern Formation and Solitons
Abstract
A quasi-2-dimensional stationary spot in a disk-shaped chemical reactor is observed to bifurcate to an oscillating spot when a control parameter is increased beyond a critical value. Further increase of the control parameter leads to the collapse and disappearance of the spot. Analysis of a bistable activator-inhibitor model indicates that the observed behavior is a consequence of interaction of the front with the boundary near a parity breaking front bifurcation.
Cite
@article{arxiv.patt-sol/9605004,
title = {Breathing Spots in a Reaction-Diffusion System},
author = {D. Haim and G. Li and Q. Ouyang and W. D. McCormick and Harry L. Swinney and A. Hagberg and E. Meron},
journal= {arXiv preprint arXiv:patt-sol/9605004},
year = {2009}
}
Comments
4 pages RevTeX, see also http://chaos.ph.utexas.edu/ and http://t7.lanl.gov/People/Aric/