Breathing Spots in a Reaction-Diffusion System

A. Hagberg (2); D. Haim (1); E. Meron (3) ((1) The University of Texas at Austin (2) Los Alamos National Laboratory (3) Ben-Gurion University); G. Li (1); Harry L. Swinney (1); Q. Ouyang (1); W.D. McCormick (1)

arxiv: patt-sol/9605004 · v1 · submitted 1996-05-17 · patt-sol · nlin.PS

Breathing Spots in a Reaction-Diffusion System

D. Haim (1) , G. Li (1) , Q. Ouyang (1) , W.D. McCormick (1) , Harry L. Swinney (1) , A. Hagberg (2) , E. Meron (3) ((1) The University of Texas at Austin (2) Los Alamos National Laboratory (3) Ben-Gurion University) This is my paper

classification patt-sol nlin.PS

keywords spotcontrolfrontobservedparameteractivator-inhibitoranalysisbehavior

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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.

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Breathing Spots in a Reaction-Diffusion System

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