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Breathing Spots in a Reaction-Diffusion System

1996/05/17 by D. Haim, G. Li, Qi Ouyang +7 · 1 citation
Computer Science · Medicine · Physics and Astronomy · #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation #nlin.PS #patt-sol #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevlett.77.190

published as Phys. Rev. Lett. 77, 190 (1996) · 4 pages RevTeX, see also http://chaos.ph.utexas.edu/ and http://t7.lanl.gov/People/Aric/

arxiv created 1996/05/17 · openalex publication_date 1996/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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