Author:
Akhmedov Odiljon S.,Azamov Abdulla A.,Ibragimov Gafurjan I.
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.
Cited by
2 articles.
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1. Spiral patterns and numerical bifurcation analysis in a three-component Brusselator model for chemical reactions;Mathematics and Computers in Simulation;2023-01
2. Simulation of Chemical Oscillator Network;2022 Conference of Russian Young Researchers in Electrical and Electronic Engineering (ElConRus);2022-01-25