Canards Oscillations, Noise-Induced Splitting of Cycles and Transition to Chaos in Thermochemical Kinetics
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Canards Oscillations, Noise-Induced Splitting of Cycles and Transition to Chaos in Thermochemical Kinetics
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| Автор |
Bashkirtseva, I.
Ivanenko, G. Mordovskikh, D. Ryashko, L. |
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| Тематика |
CANARD CYCLES
CHAOS STOCHASTIC BIFURCATIONS STOCHASTIC SPLITTING THERMOCHEMICAL OSCILLATIONS |
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| Описание |
We study how noise generates complex oscillatory regimes in the nonlinear thermochemical kinetics. In this study, the basic mathematical Zeldovich–Semenov model is used as a deterministic skeleton. We investigate the stochastic version of this model that takes into account multiplicative random fluctuations of temperature. In our study, we use direct numerical simulation of stochastic solutions with the subsequent statistical analysis of probability densities and Lyapunov exponents. In the parametric zone of Canard cycles, qualitative effects caused by random noise are identified and investigated. Stochastic P-bifurcations corresponding to noise-induced splitting of Canard oscillations are parametrically described. It is shown that such P-bifurcations are associated with splitting of both amplitudes and frequencies. Studying stochastic D-bifurcations, we localized the rather narrow parameter zone where transitions from order to chaos occur. © 2023 by the authors.
Russian Science Foundation, RSF: N 23-21-00042 The work was supported by the Russian Science Foundation (N 23-21-00042). |
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| Дата |
2024-04-05T16:20:09Z
2024-04-05T16:20:09Z 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, Ivanenko, G, Mordovskikh, D & Ryashko, L 2023, 'Canards Oscillations, Noise-Induced Splitting of Cycles and Transition to Chaos in Thermochemical Kinetics', Mathematics, Том. 11, № 8, 1918. https://doi.org/10.3390/math11081918
Bashkirtseva, I., Ivanenko, G., Mordovskikh, D., & Ryashko, L. (2023). Canards Oscillations, Noise-Induced Splitting of Cycles and Transition to Chaos in Thermochemical Kinetics. Mathematics, 11(8), [1918]. https://doi.org/10.3390/math11081918 2227-7390 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85153732048&doi=10.3390%2fmath11081918&partnerID=40&md5=7fd71fab8e226b25f51324fd627f397f https://www.mdpi.com/2227-7390/11/8/1918/pdf?version=1681876382 http://elar.urfu.ru/handle/10995/130417 10.3390/math11081918 85153732048 000977328000001 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//23-21-00042
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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 |
MDPI
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| Источник |
Mathematics
Mathematics |
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