Geodesic
On the existence of focus singularities in one model of a Lagrange top with a vibrating suspension point
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 26-30 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a completely integrable Hamiltonian system with two degrees of freedom that describes the dynamics of a Lagrange top with a vibrating suspension point. The results of a stability analysis of equilibrium positions are clearly presented. It turns out that, in the case of a vibrating suspension point, both equilibrium positions can be unstable, which corresponds to the existence of focus singularities in the considered model.
Keywords: completely integrable Hamiltonian systems, focus singularities.
Mots-clés : Lagrange top 
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     author = {A. V. Borisov and P. E. Ryabov and S. V. Sokolov},
     title = {On the existence of focus singularities in one model of a {Lagrange} top with a vibrating suspension point},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {26--30},
     year = {2020},
     volume = {495},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_495_a5/}
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A. V. Borisov; P. E. Ryabov; S. V. Sokolov. On the existence of focus singularities in one model of a Lagrange top with a vibrating suspension point. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 26-30. http://geodesic.mathdoc.fr/item/DANMA_2020_495_a5/

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