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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013 Number 4, Pages 66–69 (Mi vmumm428)

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Poincaré–Chetaev bifurcation diagrams in the problem of motion of an inhomogeneous dynamically and geometrically symmetric ellipsoid on a smooth plane

P. A. Elkin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The problem of existence, stability and bifurcation of steady motions of an inhomogeneous, dynamically and geometrically symmetric ellipsoid with the shifted center of gravity located at the symmetry axis and moving on a perfectly smooth horizontal plane is considered.

Key words: ellipsoid, bifurcation diagrams, steady motion.

UDC: 531.6

Received: 09.11.2011


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2013, 68:4, 106–109

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© Steklov Math. Inst. of RAS, 2024