New cases when the invariant measure and first integrals exist in the problem of a body rolling on a surface

DOI10.1070/RD2003v008n03ABEH000249zbMath1050.70005OpenAlexW4231205205MaRDI QIDQ1876376

Ivan. S. Mamaev

Publication date: 6 September 2004

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

Full work available at URL: https://doi.org/10.1070/rd2003v008n03abeh000249

zbMATH Keywords

mass distributiondynamically symmetric ball

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (3)

The nonexistence of an invariant measure for an inhomogeneous ellipsoid rolling on a plane ⋮ The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere ⋮ Stability of steady rotations in the nonholonomic Routh problem

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