Citation
Akhmedov, Odiljon S. and Azamov, Abdulla A. and Ibragimov, Gafurjan I.
(2020)
Four-dimensional brusselator model with periodical solution.
Ural Mathematical Journal, 6 (1).
pp. 3-15.
ISSN 2414-3952
Abstract
In the paper, a four-dimensional model of cyclic reactions of the type Prigogine's Brusselator is considered. It is shown that the corresponding dynamical system does not have a closed trajectory in the positive orthant that will make it inadequate with the main property of chemical reactions of Brusselator type. Therefore, a new modified Brusselator model is proposed in the form of a four-dimensional dynamic system. Also, the existence of a closed trajectory is proved by the DN-tracking method for a certain value of the parameter which expresses the rate of addition one of the reagents to the reaction from an external source.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.15826/umj.2020.1.001 |
| Publisher: | Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences |
| Keywords: | Chemical reaction; Closed trajectory; DN-tracking method; Discrete trajectory; Numerical trajectory |
| Depositing User: | Ms. Nuraida Ibrahim |
| Date Deposited: | 21 Sep 2021 23:13 |
| Last Modified: | 21 Sep 2021 23:13 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.15826/umj.2020.1.001 |
| URI: | http://psasir.upm.edu.my/id/eprint/89062 |
| Statistic Details: | View Download Statistic |
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