Analysis of Noise-Induced Transitions in a Thermo-Kinetic Model of the Autocatalytic Trigger
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Analysis of Noise-Induced Transitions in a Thermo-Kinetic Model of the Autocatalytic Trigger
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| Автор |
Bashkirtseva, I.
Pavletsov, M. Perevalova, T. Ryashko, L. |
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| Тематика |
AUTOCATALYTIC TRIGGER
NOISE-INDUCED TRANSITIONS STOCHASTIC SENSITIVITY THERMO-KINETIC MODEL |
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| Описание |
Motivated by the increasingly important role of mathematical modeling and computer-aided analysis in engineering applications, we consider the problem of the mathematical modeling and computer-aided analysis of complex stochastic processes in thermo-kinetics. We study a mathematical model of the dynamic interaction of reagent concentration and temperature in autocatalysis. For the deterministic variant of this model, mono- and bistability parameter zones as well as local and global bifurcations are revealed, and we show how random multiplicative disturbances can deform coexisting equilibrium regimes. In a study of noise-induced transitions, we apply direct numerical simulation and an analytical approach based on the stochastic sensitivity technique. Two variants of bistability with different scenarios of stochastic transformations are studied and compared. © 2023 by the authors.
Ministry of Education and Science of the Russian Federation, Minobrnauka This research was funded by the Ministry of Science and Higher Education of the Russian Federation (Ural Federal University Program of Development within the Priority-2030 Program). |
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| Дата |
2024-04-05T16:35:02Z
2024-04-05T16:35:02Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Bashkirtseva, I, Pavletsov, M, Perevalova, T & Ryashko, L 2023, 'Analysis of Noise-Induced Transitions in a Thermo-Kinetic Model of the Autocatalytic Trigger', Mathematics, Том. 11, № 20, 4302. https://doi.org/10.3390/math11204302
Bashkirtseva, I., Pavletsov, M., Perevalova, T., & Ryashko, L. (2023). Analysis of Noise-Induced Transitions in a Thermo-Kinetic Model of the Autocatalytic Trigger. Mathematics, 11(20), [4302]. https://doi.org/10.3390/math11204302 2227-7390 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85175055196&doi=10.3390%2fmath11204302&partnerID=40&md5=962ffd0f5ff04ab32a6ecb30fefcbe6a https://www.mdpi.com/2227-7390/11/20/4302/pdf?version=1697441635 http://elar.urfu.ru/handle/10995/130890 10.3390/math11204302 85175055196 001095407200001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Multidisciplinary Digital Publishing Institute (MDPI)
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| Источник |
Mathematics
Mathematics |
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