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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 049, 20 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.049 (Mi sigma77) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On One Approach to Investigation of Mechanical Systems

Valentin D. Irtegov, Tatyana N. Titorenko

Institute for Systems Dynamics and Control Theory, SB RAS, Irkutsk, Russia
Full-text PDF (246 kB) Citations (2)
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DOI: https://doi.org/10.3842/SIGMA.2006.049
Abstract: 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.
Keywords: rigid body mechanics; completely integrable systems; qualitative analysis; invariant manifolds; stability; bifurcations; computer algebra.
Received: November 18, 2005; in final form April 11, 2006; Published online May 8, 2006
Bibliographic databases:
Document Type: Article
MSC: 37N05; 34D20; 68W30
Language: English
Citation: Valentin D. Irtegov, Tatyana N. Titorenko, “On One Approach to Investigation of Mechanical Systems”, SIGMA, 2 (2006), 049, 20 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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