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...

Повний опис

Збережено в:
Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2006
Автори: Irtegov, V.D., Titorenko, T.N.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2006
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/146175
Теги: Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
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
_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.
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