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Numerical bifurcation diagram for the two-dimensional boundary-fed chlorine-dioxide–iodine–malonic-acid system

Setayeshgar, S. and Cross, M. C. (1999) Numerical bifurcation diagram for the two-dimensional boundary-fed chlorine-dioxide–iodine–malonic-acid system. Physical Review E, 59 (4). pp. 4258-4264. ISSN 1063-651X. http://resolver.caltech.edu/CaltechAUTHORS:SETpre99

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Abstract

We present a numerical solution of the chlorine-dioxide–iodine–malonic-acid reaction-diffusion system in two dimensions in a boundary-fed system using a realistic model. The bifurcation diagram for the transition from nonsymmetry-breaking structures along boundary feed gradients to transverse symmetry-breaking patterns in a single layer is numerically determined. We find this transition to be discontinuous. We make a connection with earlier results and discuss prospects for future work.


Item Type:Article
Additional Information:©1999 The American Physical Society Received 22 June 1998 This work was supported by the National Science Foundation under Grant No. DMR 9311444, and by a generous award of computer time from the Center for Advanced Computing Research at Caltech. We thank Ruben Krasnopolsky for invaluable advice with the parallelization.
Record Number:CaltechAUTHORS:SETpre99
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SETpre99
Alternative URL:http://dx.doi.org/10.1103/PhysRevE.59.4258
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2301
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:23 Mar 2006
Last Modified:26 Dec 2012 08:48

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