Integrability of the problem of rolling of a sphere with a multiply connected cavity filled with an ideal fluid

DOI10.1070/RD2002v007n02ABEH000201zbMath1058.70004MaRDI QIDQ1860546

Anatoliy P. Markeev

Publication date: 24 February 2003

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

nonholonomic constraint

Mathematics Subject Classification ID

Collected or selected works; reprintings or translations of classics (01A75) Incompressible inviscid fluids (76B99) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40) History of mechanics of particles and systems (70-03)

Related Items

The problem of optimal control of a Chaplygin ball by internal rotors ⋮ A particular integrable case in the nonautonomous problem of a Chaplygin sphere rolling on a vibrating plane ⋮ Motion control of the spherical robot rolling on a vibrating plane