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This article is cited in 4 scientific papers (total in 5 papers)
MATHEMATICS
On the existence of focus singularities in one model of a Lagrange top with a vibrating suspension point
A. V. Borisovabc, P. E. Ryabovabd, S. V. Sokolovab a A. A. Blagonravov Mechanical Engineering Institute RAS, Moscow
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
c Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
d Financial University under the Government of the Russian Federation, Moscow
Abstract:
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, Lagrange top, focus singularities.
Citation:
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”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 26–30; Dokl. Math., 102:3 (2020), 468–471
Linking options:
https://www.mathnet.ru/eng/danma12 https://www.mathnet.ru/eng/danma/v495/p26
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