Breathing spots in a reaction-diffusion system

Cite Details

D. Haim, G. Li, Q. Ouyang, W. D. McCormick, H. L. Swinney, A. Hagberg and E. Meron, "Breathing spots in a reaction-diffusion system", Phys. Rev. Lett., vol. 77, no. 1, pp. 190--193, 1996

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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.

BibTeX Entry

@article{haim-1996-breathing,

author = {D. Haim and G. Li and Q. Ouyang and W. D. McCormick and H. L. Swinney and A. Hagberg and E. Meron},

title = {Breathing spots in a reaction-diffusion system},

year = {1996},

urlpdf = {http://math.lanl.gov/~hagberg/Papers/breathing/spot.pdf},

journal = {Phys. Rev. Lett.},

volume = {77},

number = {1},

pages = {190--193}

}