Singularly perturbed stochastic systems
Problems of singular perturbation of reducible invertible operators are classified and their applications to the analysis of stochastic Markov systems represented by random evolutions are considered. The phase merging, averaging, and diffusion approximation schemes are discussed for dynamical system...
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| Date: | 1997 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4984 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511176229650432 |
|---|---|
| author | Korolyuk, V. S. Королюк, В. С. |
| author_facet | Korolyuk, V. S. Королюк, В. С. |
| author_sort | Korolyuk, V. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:22:11Z |
| description | Problems of singular perturbation of reducible invertible operators are classified and their applications to the analysis of stochastic Markov systems represented by random evolutions are considered. The phase merging, averaging, and diffusion approximation schemes are discussed for dynamical systems with rapid Markov switchings. |
| first_indexed | 2026-03-24T03:08:44Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4984 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:08:44Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d0/4bba7204ea7ce22072010af6590a5ad0.pdf |
| spelling | umjimathkievua-article-49842020-03-18T21:22:11Z Singularly perturbed stochastic systems Сингулярно збурені стохастичні системи Korolyuk, V. S. Королюк, В. С. Problems of singular perturbation of reducible invertible operators are classified and their applications to the analysis of stochastic Markov systems represented by random evolutions are considered. The phase merging, averaging, and diffusion approximation schemes are discussed for dynamical systems with rapid Markov switchings. Розглянуто проблеми сингулярного збурення оборотних операторів та їх застосування до аналізу стохастичних марковських систем, що задаються випадковими еволюціями. Схеми фазового укрупнення, усереднення та дифузійної апроксимації застосовуються до динамічних систем зі швидкими марковськими переключеннями. Institute of Mathematics, NAS of Ukraine 1997-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4984 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 1 (1997); 25–34 Український математичний журнал; Том 49 № 1 (1997); 25–34 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4984/6667 https://umj.imath.kiev.ua/index.php/umj/article/view/4984/6668 Copyright (c) 1997 Korolyuk V. S. |
| spellingShingle | Korolyuk, V. S. Королюк, В. С. Singularly perturbed stochastic systems |
| title | Singularly perturbed stochastic systems |
| title_alt | Сингулярно збурені стохастичні системи |
| title_full | Singularly perturbed stochastic systems |
| title_fullStr | Singularly perturbed stochastic systems |
| title_full_unstemmed | Singularly perturbed stochastic systems |
| title_short | Singularly perturbed stochastic systems |
| title_sort | singularly perturbed stochastic systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4984 |
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