Four-dimensional brusselator model with periodical solution
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 o...
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Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences
2020
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| الوصول للمادة أونلاين: | http://psasir.upm.edu.my/id/eprint/89062/1/FOUR.pdf http://psasir.upm.edu.my/id/eprint/89062/ https://umjuran.ru/index.php/umj/article/view/220 |
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my.upm.eprints.890622021-09-21T23:13:13Z http://psasir.upm.edu.my/id/eprint/89062/ Four-dimensional brusselator model with periodical solution Akhmedov, Odiljon S. Azamov, Abdulla A. Ibragimov, Gafurjan I. 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. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/89062/1/FOUR.pdf 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 https://umjuran.ru/index.php/umj/article/view/220 10.15826/umj.2020.1.001 |
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Universiti Putra Malaysia |
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UPM Library |
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Institutional Repository |
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Asia |
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Malaysia |
| content_provider |
Universiti Putra Malaysia |
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UPM Institutional Repository |
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http://psasir.upm.edu.my/ |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Akhmedov, Odiljon S. Azamov, Abdulla A. Ibragimov, Gafurjan I. |
| spellingShingle |
Akhmedov, Odiljon S. Azamov, Abdulla A. Ibragimov, Gafurjan I. Four-dimensional brusselator model with periodical solution |
| author_facet |
Akhmedov, Odiljon S. Azamov, Abdulla A. Ibragimov, Gafurjan I. |
| author_sort |
Akhmedov, Odiljon S. |
| title |
Four-dimensional brusselator model with periodical solution |
| title_short |
Four-dimensional brusselator model with periodical solution |
| title_full |
Four-dimensional brusselator model with periodical solution |
| title_fullStr |
Four-dimensional brusselator model with periodical solution |
| title_full_unstemmed |
Four-dimensional brusselator model with periodical solution |
| title_sort |
four-dimensional brusselator model with periodical solution |
| publisher |
Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences |
| publishDate |
2020 |
| url |
http://psasir.upm.edu.my/id/eprint/89062/1/FOUR.pdf http://psasir.upm.edu.my/id/eprint/89062/ https://umjuran.ru/index.php/umj/article/view/220 |
| _version_ |
1712286750375673856 |
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13.251813 |