Spherical and planar ball bearings --- nonholonomic systems with invariant measures
From MaRDI portal
Publication:2674287
DOI10.1134/S1560354722040037zbMath1504.37078arXiv2208.03009OpenAlexW4289712971WikidataQ114074875 ScholiaQ114074875MaRDI QIDQ2674287
Borislav Gajić, Božidar Žarko Jovanović, Vladimir Dragović
Publication date: 22 September 2022
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.03009
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Nonholonomic systems related to the dynamics of a system of particles (70F25) Integrable cases of motion in rigid body dynamics (70E40) Nonholonomic dynamical systems (37J60)
Related Items
Gyroscopic Chaplygin systems and integrable magnetic flows on spheres ⋮ Spherical and planar ball bearings -- a study of integrable cases
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere
- Invariant measures of modified LR and L+R systems
- Invariant measures of Euler-Poincaré equations on Lie algebras
- On two modified integrable problems in dynamics
- Rigid body dynamics
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
- Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
- Unimodularity and preservation of volumes in nonholonomic mechanics
- Rolling of a homogeneous ball over a dynamically asymmetric sphere
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Non-holonomic dynamics and Poisson geometry
- Invariant measures of nonholonomic flows with internal degrees of freedom
- Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere
- Note on a ball rolling over a sphere: Integrable Chaplygin system with an invariant measure without Chaplygin hamiltonization
- On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich
- Demchenko’s nonholonomic case of a gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis
- LR and L+R systems