Integrability of the \(n\)-dimensional axially symmetric Chaplygin sphere
From MaRDI portal
Publication:2305008
DOI10.1134/S1560354719050022zbMath1437.37081arXiv1906.00261OpenAlexW2978979570MaRDI QIDQ2305008
Publication date: 10 March 2020
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.00261
Group actions and symmetry properties (58D19) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40) Nonholonomic dynamical systems (37J60)
Related Items (2)
Spherical and planar ball bearings -- a study of integrable cases ⋮ Demchenko’s nonholonomic case of a gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis
Cites Work
- Hamiltonization and integrability of the Chaplygin sphere in \(\mathbb R^{n}\)
- Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
- \(G\)-Chaplygin systemswith internal symmetries, truncation, and an (almost) symplecticview of Chaplygin's ball
- Chaplygin's ball rolling problem is Hamiltonian
- On a ball's rolling on a horizontal plane. Translated from the Russian 1903 original
- Integrability and dynamics of the \(n\)-dimensional symmetric Veselova top
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Quasi-periodicity in relative quasi-periodic tori
- Equivariant Dynamical Systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Integrability of the \(n\)-dimensional axially symmetric Chaplygin sphere
