On the orbital stability of pendulum-type motions in the approximate problem of Kovalevskaya top dynamics with a vibrating suspension point

DOI10.3103/S0025654422070056OpenAlexW4313905550MaRDI QIDQ2695863

M. V. Belichenko

Publication date: 5 April 2023

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0025654422070056

zbMATH Keywords

Kovalevskaya toporbital stabilityhigh-frequency vibrationspendulum-type motions

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

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• The equations of the approximate theory of the motion of a rigid body with a vibrating suspension point
• On the orbital stability of planar periodic motions of a rigid body in the Bobylev-Steklov case
• Stability of special motions (permanent rotations) of a heavy rigid body with a suspension point vibrating along the vertical
• On the stability of motion of a heavy solid about a fixed point in a certain special case
• On the Dynamics of a Rigid Body in the Hess Case at High-Frequency Vibrations of a Suspension Point
• On the Stability of Pendulum-type Motions in the Approximate Problem of Dynamics of a Lagrange Top with a Vibrating Suspension Point

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