Breathing Spots in a Reaction-Diffusion System

Preprint

17 May 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.patt-sol/9605004

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.

Keywords

DIMENSIONAL STATIONARY
REACTION DIFFUSION
FRONT BIFURCATION
DIFFUSION SYSTEM
STATIONARY SPOT
BREATHING SPOTS
CRITICAL VALUE
BIFURCATE

All Related Versions

Version 1, 1996-05-17, ArXiv
Published version: Physical Review Letters, 77 (1), 190.

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