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. doi:10.1103/PhysRevE.59.4258. https://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 | ||||||
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| 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. | ||||||
| Issue or Number: | 4 | ||||||
| DOI: | 10.1103/PhysRevE.59.4258 | ||||||
| Record Number: | CaltechAUTHORS:SETpre99 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:SETpre99 | ||||||
| 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: | 08 Nov 2021 19:46 |
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