Numerical methods for stochastic sensitivity analysis of 2D chaotic attractors
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Numerical methods for stochastic sensitivity analysis of 2D chaotic attractors
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| Автор |
Perevalova, T.
Satov, A. |
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| Описание |
The paper presents constructive algorithms for finding the outer boundaries of chaotic attractors, based on a geometric selection of points of critical lines belonging only to the outer boundary. In the theory of dynamical discrete-time systems, critical lines play a key role. These lines facilitate the study of the dynamic properties of noninvertible maps and to describe the boundaries of a chaotic attractor. The previously constructed stochastic sensitivity function for chaotic attractors is based on critical lines and lets us estimate the dispersion of random states around the chaotic attractor. However, the technical problem is complicated by the fact that the critical lines describe not only the external boundaries, but also structures inside the chaotic attractor. Our algorithms are tested for complex non-convex forms of chaotic attractors. Based on the algorithms, we solve the problem of finding confidence domains around chaotic attractors of stochastic systems. © 2022 Author(s).
Russian Science Foundation, RSF, (N 21-11-00062) The work was supported by Russian Science Foundation (N 21-11-00062). |
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| Дата |
2024-04-22T15:52:33Z
2024-04-22T15:52:33Z 2022 |
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| Тип |
Conference paper
Conference object (info:eu-repo/semantics/conferenceObject) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Perevalova, T & Satov, A 2022, Numerical methods for stochastic sensitivity analysis of 2D chaotic attractors. в MD Todorov (ред.), Application of Mathematics in Technical and Natural Sciences - 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021., 100009, AIP Conference Proceedings, Том. 2522, American Institute of Physics Inc., 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021, Albena, Болгария, 24/06/2021. https://doi.org/10.1063/5.0101205
Perevalova, T., & Satov, A. (2022). Numerical methods for stochastic sensitivity analysis of 2D chaotic attractors. в M. D. Todorov (Ред.), Application of Mathematics in Technical and Natural Sciences - 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021 [100009] (AIP Conference Proceedings; Том 2522). American Institute of Physics Inc.. https://doi.org/10.1063/5.0101205 978-073544361-7 0094-243X Final All Open Access; Bronze Open Access https://aip.scitation.org/doi/pdf/10.1063/5.0101205 https://aip.scitation.org/doi/pdf/10.1063/5.0101205 http://elar.urfu.ru/handle/10995/132322 10.1063/5.0101205 85140223340 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
American Institute of Physics Inc.
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| Источник |
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’21
AIP Conference Proceedings |
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