Limiting behaviour of the oscillatory system with the presence of random disturbances of parameters of this system. II
The asymptotic behavior is studied of the solution of a second-order linear system in the presence of random perturbations represented by an ergodic Markov process with a finite state space. The case is investigated when the averaged system describes a simple harmonic oscillation.
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| Date: | 1990 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1990
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8844 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865794933697282048 |
|---|---|
| author | Skorokhod, I. V. Скороход, И. В. |
| author_facet | Skorokhod, I. V. Скороход, И. В. |
| author_institution_txt_mv | [
{
"author": "И. В. Скороход",
"institution": "Ин-т гидромеханики АН УССР, Киев"
}
] |
| author_sort | Skorokhod, I. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-14T10:10:56Z |
| description | The asymptotic behavior is studied of the solution of a second-order linear system in the presence of random perturbations represented by an ergodic Markov process with a finite state space. The case is investigated when the averaged system describes a simple harmonic oscillation. |
| first_indexed | 2026-03-24T03:42:56Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8844 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:42:56Z |
| publishDate | 1990 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7d/4dc83c171c8f88b35e99587c82b9fd7d.pdf |
| spelling | umjimathkievua-article-88442024-11-14T10:10:56Z Limiting behaviour of the oscillatory system with the presence of random disturbances of parameters of this system. II О предельном поведении колебательной системы при наличии случайных возмущений параметров этой системы. II Skorokhod, I. V. Скороход, И. В. The asymptotic behavior is studied of the solution of a second-order linear system in the presence of random perturbations represented by an ergodic Markov process with a finite state space. The case is investigated when the averaged system describes a simple harmonic oscillation. Изучается асимптотическое поведение решения линейной системы второго порядка при наличии случайных возмущений, представленных эргодическим марковским процессом с конечным множеством состояний. Исследован случай, когда усредненная система описывает простое гармоническое колебание. Вивчається асимптотична поведінка розв'язку лінійної системи другого порядку при наявності випадкових збурень, зображених ергодичним марківським процесом зі скінченною множиною станів. Досліджено випадок, коли усереднена система описує просте гармонічне коливання. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8844 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 817-820 Український математичний журнал; Том 42 № 6 (1990); 817-820 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8844/10264 Copyright (c) 1990 I. V. Skorokhod |
| spellingShingle | Skorokhod, I. V. Скороход, И. В. Limiting behaviour of the oscillatory system with the presence of random disturbances of parameters of this system. II |
| title | Limiting behaviour of the oscillatory system with the presence of random disturbances of parameters of this system. II |
| title_alt | О предельном поведении колебательной системы при наличии случайных возмущений параметров этой системы. II |
| title_full | Limiting behaviour of the oscillatory system with the presence of random disturbances of parameters of this system. II |
| title_fullStr | Limiting behaviour of the oscillatory system with the presence of random disturbances of parameters of this system. II |
| title_full_unstemmed | Limiting behaviour of the oscillatory system with the presence of random disturbances of parameters of this system. II |
| title_short | Limiting behaviour of the oscillatory system with the presence of random disturbances of parameters of this system. II |
| title_sort | limiting behaviour of the oscillatory system with the presence of random disturbances of parameters of this system. ii |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8844 |
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