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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Збережено в:
Бібліографічні деталі
Дата:2006
Автори: Irtegov, V.D., Titorenko, T.N.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2006
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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Опис
Резюме: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.