Invariant measures of modified LR and L+R systems
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Publication:904892
DOI10.1134/S1560354715050032zbMath1344.37074arXiv1508.04913OpenAlexW2963639394MaRDI QIDQ904892
Publication date: 14 January 2016
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.04913
Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)
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Rolling balls over spheres in $ \newcommand{\m}{\mathfrak m} {\mathbb{R}^n}$ ⋮ Spherical and planar ball bearings --- nonholonomic systems with invariant measures ⋮ Gyroscopic Chaplygin systems and integrable magnetic flows on spheres ⋮ Spherical and planar ball bearings -- a study of integrable cases ⋮ Two Integrable Cases of a Ball Rolling over a Sphere in $\mathbb{R}^n$ ⋮ Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems ⋮ Nonholonomic connections, time reparametrizations, and integrability of the rolling ball over a sphere ⋮ Cartan meets Chaplygin ⋮ Demchenko’s nonholonomic case of a gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis
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