Analysis of stochastic generation and shifts of phantom attractors in a climate–vegetation dynamical model
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
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Analysis of stochastic generation and shifts of phantom attractors in a climate–vegetation dynamical model
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| Автор |
Ryashko, L.
Alexandrov, D. V. Bashkirtseva, I. |
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| Тематика |
CLIMATE–VEGETATION MODEL
PHANTOM ATTRACTOR SLOW-FAST DYNAMICS STOCHASTIC DISTURBANCES |
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| Описание |
A problem of the noise-induced generation and shifts of phantom attractors in nonlinear dynamical systems is considered. On the basis of the model describing interaction of the climate and vegetation we study the probabilistic mechanisms of noise-induced systematic shifts in global temperature both upward (“warming”) and downward (“freezing”). These shifts are associated with changes in the area of Earth covered by vegetation. The mathematical study of these noise-induced phenomena is performed within the framework of the stochastic theory of phantom attractors in slow-fast systems. We give a theoretical description of stochastic generation and shifts of phantom attractors based on the method of freezing a slow variable and averaging a fast one. The probabilistic mechanisms of oppositely directed shifts caused by additive and multiplicative noise are discussed. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Ural Mathematical Center, (075-02-2021-1387) Ministry of Education and Science of the Russian Federation, Minobrnauka Russian Science Foundation, RSF, (21-11-00062) Funding: The work on the analysis of the initial deterministic model was supported by the Ministry of Science and Higher Education of the Russian Federation (Ural Mathematical Center project No. 075-02-2021-1387). The work on the investigation of stochastic phenomena and elaboration of theoretical methods of the noise-induced generation and shifts of “phantom” attractors was funded by Russian Science Foundation (grant number 21-11-00062). |
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| Дата |
2024-04-08T11:06:10Z
2024-04-08T11:06:10Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Ryashko, L, Alexandrov, D & Bashkirtseva, I 2021, 'Analysis of Stochastic Generation and Shifts of Phantom Attractors in a Climate-Vegetation Dynamical Model', Mathematics, Том. 9, № 12, 1329. https://doi.org/10.3390/math9121329
Ryashko, L., Alexandrov, D., & Bashkirtseva, I. (2021). Analysis of Stochastic Generation and Shifts of Phantom Attractors in a Climate-Vegetation Dynamical Model. Mathematics, 9(12), [1329]. https://doi.org/10.3390/math9121329 2227-7390 Final All Open Access; Gold Open Access https://www.mdpi.com/2227-7390/9/12/1329/pdf?version=1623226248 https://www.mdpi.com/2227-7390/9/12/1329/pdf?version=1623226248 http://elar.urfu.ru/handle/10995/131287 10.3390/math9121329 85127358013 000665901300001 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//21-11-00062
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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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