On the gyroscopic stabilization of conservative systems
We consider conservative systems with gyroscopic forces and prove theorems on stability and instability of equilibrium states for such systems. These theorems can be regarded as a generalization of the Kelvin theorem to nonlinear systems.
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5225 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511435868602368 |
|---|---|
| author | Sosnitskii, S. P. Сосницький, С. П. |
| author_facet | Sosnitskii, S. P. Сосницький, С. П. |
| author_sort | Sosnitskii, S. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:27:31Z |
| description | We consider conservative systems with gyroscopic forces and prove theorems on stability and instability of equilibrium states for such systems. These theorems can be regarded as a generalization of the Kelvin theorem to nonlinear systems. |
| first_indexed | 2026-03-24T03:12:51Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5225 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:12:51Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/bf/83a4f253635067d6f1f05516c8954abf.pdf |
| spelling | umjimathkievua-article-52252020-03-18T21:27:31Z On the gyroscopic stabilization of conservative systems Про гіроскопічну стабілізацію консервативних систем Sosnitskii, S. P. Сосницький, С. П. We consider conservative systems with gyroscopic forces and prove theorems on stability and instability of equilibrium states for such systems. These theorems can be regarded as a generalization of the Kelvin theorem to nonlinear systems. Розглядаються консервативні системи з гіроскопічними силами. Доводяться теореми про стійкість і нестійкість рівноваги таких систем. Одержані теореми є спробою поширити теореми Кельвіна па нелінійні системи. Institute of Mathematics, NAS of Ukraine 1996-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5225 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 10 (1996); 1402-1408 Український математичний журнал; Том 48 № 10 (1996); 1402-1408 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5225/7144 https://umj.imath.kiev.ua/index.php/umj/article/view/5225/7145 Copyright (c) 1996 Sosnitskii S. P. |
| spellingShingle | Sosnitskii, S. P. Сосницький, С. П. On the gyroscopic stabilization of conservative systems |
| title | On the gyroscopic stabilization of conservative systems |
| title_alt | Про гіроскопічну стабілізацію консервативних систем |
| title_full | On the gyroscopic stabilization of conservative systems |
| title_fullStr | On the gyroscopic stabilization of conservative systems |
| title_full_unstemmed | On the gyroscopic stabilization of conservative systems |
| title_short | On the gyroscopic stabilization of conservative systems |
| title_sort | on the gyroscopic stabilization of conservative systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5225 |
| work_keys_str_mv | AT sosnitskiisp onthegyroscopicstabilizationofconservativesystems AT sosnicʹkijsp onthegyroscopicstabilizationofconservativesystems AT sosnitskiisp progíroskopíčnustabílízacíûkonservativnihsistem AT sosnicʹkijsp progíroskopíčnustabílízacíûkonservativnihsistem |