The Routh theorem for mechanical systems with unknown first integrals
Theoretical and applied mechanics, Tome 44 (2017) no. 2.

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In this paper we discuss problems of stability of stationary motions of conservative and dissipative mechanical systems with first integrals. General results are illustrated by the problem of motion of a rotationally symmetric rigid body on a perfectly rough plane.
Keywords: mechanical systems, first integrals, stability
@article{TAM_2017_44_2_a4,
     author = {Alexander V. Karapetyan and Alexander S. Kuleshov},
     title = {The {Routh} theorem for mechanical systems with unknown first integrals},
     journal = {Theoretical and applied mechanics},
     pages = {169 - 180},
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     volume = {44},
     number = {2},
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Alexander V. Karapetyan; Alexander S. Kuleshov. The Routh theorem for mechanical systems with unknown first integrals. Theoretical and applied mechanics, Tome 44 (2017) no. 2. http://geodesic.mathdoc.fr/item/TAM_2017_44_2_a4/