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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| Дата: | 2006 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146175 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146175 |
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dspace |
| spelling |
irk-123456789-1461752019-02-08T01:24:18Z On One Approach to Investigation of Mechanical System Irtegov, V.D. Titorenko, T.N. 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. 2006 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146175 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Irtegov, V.D. Titorenko, T.N. |
| spellingShingle |
Irtegov, V.D. Titorenko, T.N. On One Approach to Investigation of Mechanical System Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Irtegov, V.D. Titorenko, T.N. |
| author_sort |
Irtegov, V.D. |
| title |
On One Approach to Investigation of Mechanical System |
| title_short |
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_sort |
on one approach to investigation of mechanical system |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146175 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT irtegovvd ononeapproachtoinvestigationofmechanicalsystem AT titorenkotn ononeapproachtoinvestigationofmechanicalsystem |
| first_indexed |
2023-05-20T17:24:02Z |
| last_indexed |
2023-05-20T17:24:02Z |
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1796153207954604032 |