The necessary conditions for the existence of an additional integral in the problem of the motion of a heavy ellipsoid on a smooth horizontal plane

DOI10.1016/J.JAPPMATHMECH.2009.11.015zbMath1272.70022OpenAlexW2010116331MaRDI QIDQ370424

M. Yu. Ivochkin

Publication date: 19 September 2013

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021892809001506

Mathematics Subject Classification ID

Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40)

Cites Work

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• On the non-existence of the additional integral in the problem of the motion of a heavy rigid ellipsoid along a smooth plane
• Necessary condition for the existence of algebraic first integrals

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