Linear invariant relations of Kirchhoff's equations

DOI10.1016/j.jappmathmech.2016.01.004zbMath1434.70011OpenAlexW2284640234MaRDI QIDQ2011440

V. Yu. Ol'shanskij

Publication date: 7 December 2019

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2016.01.004

zbMATH Keywords

existenceKirchhoff's equationsChaplygin linear invariant relationlinear invariant relation

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Incompressible inviscid fluids (76B99) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (4)

New classes of particular solutions to one problem on gyrostat motion ⋮ Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations ⋮ On the regular precessions of an asymmetric liquid-filled rigid body ⋮ Partial linear integrals of the Poincaré-Zhukovskiĭ equations (the general case)

Cites Work

• Unnamed Item
• Linear invariant relations of the Poincaré-Zhukovskii equations
• A new integrable case for the Kirchhoff equation
• Lax pairs for the deformed Kowalevski and Goryachev--Chaplygin tops
• Generalization of the Goryachev--Chaplygin case
• Integrable quadratic classical Hamiltonians onso(4) andso(3, 1)

This page was built for publication: Linear invariant relations of Kirchhoff's equations