On One Approach to Investigation of Mechanical System
The paper presents some results of qualitative analysis of Kirchhoff's differential equations describing motion of a rigid body in ideal fluid in Sokolov's case. The research methods are based on Lyapunov's classical results. Methods of computer algebra implemented in the computer alg...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2006 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146175 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On One Approach to Investigation of Mechanical System / V.D. Irtegov, T.N. Titorenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862730408120025088 |
|---|---|
| author | Irtegov, V.D. Titorenko, T.N. |
| author_facet | Irtegov, V.D. Titorenko, T.N. |
| citation_txt | On One Approach to Investigation of Mechanical System / V.D. Irtegov, T.N. Titorenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The paper presents some results of qualitative analysis of Kirchhoff's differential equations describing motion of a rigid body in ideal fluid in Sokolov's case. The research methods are based on Lyapunov's classical results. Methods of computer algebra implemented in the computer algebra system (CAS) "Mathematica" were also used. Combination of these methods allowed us to obtain rather detailed information on qualitative properties for some classes of solutions of the equations.
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| first_indexed | 2025-12-07T19:20:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146175 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:20:40Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Irtegov, V.D. Titorenko, T.N. 2019-02-07T20:19:52Z 2019-02-07T20:19:52Z 2006 On One Approach to Investigation of Mechanical System / V.D. Irtegov, T.N. Titorenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 13 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37N05; 34D20; 68W30 https://nasplib.isofts.kiev.ua/handle/123456789/146175 The paper presents some results of qualitative analysis of Kirchhoff's differential equations describing motion of a rigid body in ideal fluid in Sokolov's case. The research methods are based on Lyapunov's classical results. Methods of computer algebra implemented in the computer algebra system (CAS) "Mathematica" were also used. Combination of these methods allowed us to obtain rather detailed information on qualitative properties for some classes of solutions of the equations. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On One Approach to Investigation of Mechanical System Article published earlier |
| spellingShingle | On One Approach to Investigation of Mechanical System Irtegov, V.D. Titorenko, T.N. |
| title | On One Approach to Investigation of Mechanical System |
| title_full | On One Approach to Investigation of Mechanical System |
| title_fullStr | On One Approach to Investigation of Mechanical System |
| title_full_unstemmed | On One Approach to Investigation of Mechanical System |
| title_short | On One Approach to Investigation of Mechanical System |
| title_sort | on one approach to investigation of mechanical system |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146175 |
| work_keys_str_mv | AT irtegovvd ononeapproachtoinvestigationofmechanicalsystem AT titorenkotn ononeapproachtoinvestigationofmechanicalsystem |