Self-Organization in Randomly Forced Diffusion Systems: A Stochastic Sensitivity Technique
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Self-Organization in Randomly Forced Diffusion Systems: A Stochastic Sensitivity Technique
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| Автор |
Kolinichenko, A.
Bashkirtseva, I. Ryashko, L. |
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| Тематика |
DIFFUSION MODEL
NOISE-INDUCED TRANSITIONS PATTERNS RANDOM DISTURBANCES SELF-ORGANIZATION STOCHASTIC SENSITIVITY |
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| Описание |
The problem with the analysis of noise-induced transitions between patterns in distributed stochastic systems is considered. As a key model, we use the spatially extended dynamical “phytoplankton-herbivore” system with diffusion. We perform the parametric bifurcation analysis of this model and determine the Turing instability zone, where non-homogeneous patterns are generated by diffusion. The multistability of this deterministic model with the coexistence of several waveform pattern–attractors is found. We study how noise affects these non-homogeneous patterns and estimate the dispersion of random states using a new technique based on stochastic sensitivity function (SSF) analysis and the confidence domain method. To investigate the preferences in noise-induced transitions between patterns, we analyze and compare the results of this theoretical approach with the statistics extracted from the direct numerical simulation. © 2023 by the authors.
075-02-2022-877; Ministry of Education and Science of the Russian Federation, Minobrnauka; Russian Science Foundation, RSF: N 21-11-00062 The work of A.K. on the bifurcation analysis of the deterministic diffusion population model is supported by the Ministry of Science and Higher Education of the Russian Federation (Ural Mathematical Center project No. 075-02-2022-877). The work of A.K., I.B., and L.R. on the research and development of the stochastic sensitivity theory of pattern–attractors and their application to the study of noise-induced effects was supported by the Russian Science Foundation (N 21-11-00062). |
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| Дата |
2024-04-05T16:36:19Z
2024-04-05T16:36:19Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Kolinichenko, A, Bashkirtseva, I & Ryashko, L 2023, 'Self-Organization in Randomly Forced Diffusion Systems: A Stochastic Sensitivity Technique', Mathematics, Том. 11, № 2, 451. https://doi.org/10.3390/math11020451
Kolinichenko, A., Bashkirtseva, I., & Ryashko, L. (2023). Self-Organization in Randomly Forced Diffusion Systems: A Stochastic Sensitivity Technique. Mathematics, 11(2), [451]. https://doi.org/10.3390/math11020451 2227-7390 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85146741941&doi=10.3390%2fmath11020451&partnerID=40&md5=8becd4b8b0cba5324d9a19cc3ed6cdc7 https://www.mdpi.com/2227-7390/11/2/451/pdf?version=1674220442 http://elar.urfu.ru/handle/10995/130947 10.3390/math11020451 85146741941 000918737200001 |
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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 |
MDPI
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| Источник |
Mathematics
Mathematics |
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