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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences
2020
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| Online Access: | 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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| Summary: | 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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