Breathing Spots in a Reaction-Diffusion System

D. Haim; G. Li; Q. Ouyang; W. D. McCormick; Harry L. Swinney; A. Hagberg; E. Meron

doi:10.1103/PhysRevLett.77.190

Breathing Spots in a Reaction-Diffusion System

D. Haim, G. Li, Q. Ouyang, W. D. McCormick, Harry L. Swinney, A. Hagberg, and E. Meron

Phys. Rev. Lett. 77, 190 – Published 1 July 1996

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.

Received 18 March 1996

DOI:https://doi.org/10.1103/PhysRevLett.77.190

Authors & Affiliations

D. Haim¹, G. Li¹, Q. Ouyang¹, W. D. McCormick¹, Harry L. Swinney¹, A. Hagberg², and E. Meron³

¹Center for Nonlinear Dynamics and Department of Physics, The University of Texas at Austin, Austin, Texas 78712
²Center for Nonlinear Studies and T-7, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
³The Jacob Blaustein Institute for Desert Research and The Physics Department, Ben-Gurion University, Sede Boker Campus 84990, Israel