On the Stability of Pendulum-type Motions in the Approximate Problem of Dynamics of a Lagrange Top with a Vibrating Suspension Point

DOI10.20537/ND180208zbMath1419.70002OpenAlexW2886051651WikidataQ129439018 ScholiaQ129439018MaRDI QIDQ5230233

M. V. Belichenko

Publication date: 21 August 2019

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd611

zbMATH Keywords

stabilityhigh-frequency vibrationsLagrange's toppendulum-type motions

Mathematics Subject Classification ID

Stability problems in rigid body dynamics (70E50) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Motion of a rigid body with a fixed point (70E17) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Related Items (4)

The Dynamics of a Spherical Robot of Combined Type by Periodic Control Actions ⋮ On the orbital stability of pendulum-type motions in the approximate problem of Kovalevskaya top dynamics with a vibrating suspension point ⋮ On the Dynamics of a Rigid Body in the Hess Case at High-Frequency Vibrations of a Suspension Point ⋮ Dynamics of a spherical robot with variable moments of inertia and a displaced center of mass

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• On the stability of motion of a heavy solid about a fixed point in a certain special case
• The pendulum-like motions of a rigid body in the Goryachev-Chaplygin case

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