MATEC Web of Conferences
Volume 362, 2022XXII International Conference on Computational Mechanics and Modern Applied Software Systems (CMMASS 2021)
|Number of page(s)||7|
|Published online||14 September 2022|
Self-oscillations in a certain Belousov–Zhabotinsky model
1 Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, 125993, Russia
2 School of Applied Mathematics, HSE University, 34, Tallinskaya st., Moscow, 123458, Russia
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We consider the dynamic properties of a system of three differential equations known as the oreganator model. This model depends on four external parameters and describes one of the periodic Belousov–Zhabotinsky reactions. We obtain broad conditions for the parameters that ensure the existence of nonstationary steady-state regimes in oregonator model. With classical values of the parameters, the localization of the limit (at a long time) dynamics in the phase space has been improved. In fact, using numerical analysis, we significantly narrow the bounded region of the phase space containing the trajectories of the system. An iterative procedure is proposed for the approximate localization of closed trajectories (cycles) of the system on algebraic surfaces in R3. A promising problem of theoretical substantiation of the numerical convergence of this procedure is posed.
© The Authors, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0/).
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