Geodesic
Mathematical modelling of stationary state and oscillatory regimes in oregonator
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 7 (2018) no. 1, pp. 5-15

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Oscillatory systems are widely used in various areas of research (chemical, biological, environmental oscillators). The article presents the five-stage Field–Noyes–Köros model of the Belousov–Zhabotinsky reaction and the corresponding mathematical model of the oregonator. A system of equations for the stationary states of oregonator is derived. Stationary states of oregonator are calculated depending on the speed of direct reactions for various values of stoichiometric coefficient. Simulation of homogeneous stationary state of the system was conducted according to the experimental data of the authors of the model. The stationary solutions corresponded to the physical meaning of the model. In framework of the system of ordinary differential equations of the kinetics reactive systems oscillatory regimes are calculated. The time for oscillatory regime is determined. The amplitudes of the oscillations are corresponded to the experimental data of the authors of the model. The instability of the stationary state of the oregonator to perturbations is investigated.
Mots-clés : Belousov–Zhabotinsky’s reaction
Keywords: oregonator, steady states, oscillatory regimes. 
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     author = {L. A. Prokudina and S. U. Turlakova},
     title = {Mathematical modelling of stationary state and oscillatory regimes in oregonator},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a Vy\v{c}islitelʹna\^a matematika i informatika},
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     publisher = {mathdoc},
     volume = {7},
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     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURV_2018_7_1_a0/}
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L. A. Prokudina; S. U. Turlakova. Mathematical modelling of stationary state and oscillatory regimes in oregonator. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 7 (2018) no. 1, pp. 5-15. http://geodesic.mathdoc.fr/item/VYURV_2018_7_1_a0/