VARIETY OF THE CASES OF INTEGRABILITY IN DYNAMICS OF A SYMMETRIC 2D-, 3D- AND 4D-RIGID BODY IN A NONCONSERVATIVE FIELD

DOI10.1142/S0219455413400117zbMath1359.70059OpenAlexW2146072622MaRDI QIDQ2972239

M. V. Shamolin

Publication date: 7 April 2017

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219455413400117

zbMATH Keywords

integrabilitytranscendental first integralmany-dimensional rigid body

Mathematics Subject Classification ID

Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40) Higher-dimensional generalizations in rigid body dynamics (70E45)

Related Items (3)

Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications ⋮ Low-dimensional and multidimensional pendulums in nonconservative fields. I ⋮ Low-dimensional and multidimensional pendulums in nonconservative fields. II

Cites Work

• Unnamed Item
• Classical mechanics. Dynamics.
• Parametric resonance and geodesics on an ellipsoid
• Classical mechanics. Kinematics and statics.

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