Nonholonomic connections, time reparametrizations, and integrability of the rolling ball over a sphere
Author:
Funder
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja
Publisher
IOP Publishing
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Link
http://stacks.iop.org/0951-7715/32/i=5/a=1675/pdf
Reference52 articles.
1. Projective dynamics and first integrals
2. On geometrization of motion of some nonholonomic systems
3. Invariant nonholonomic Riemannian structures on three-dimensional Lie groups
4. Newton's Law and Integrability of Nonholonomic Systems
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1. Gyroscopic Chaplygin Systems and Integrable Magnetic Flows on Spheres;Journal of Nonlinear Science;2023-03-10
2. The geometry of nonholonomic Chaplygin systems revisited;Nonlinearity;2020-02-10
3. Demchenko’s nonholonomic case of a gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis;Theoretical and Applied Mechanics;2020
4. Generalisation of Chaplygin’s reducing multiplier theorem with an application to multi-dimensional nonholonomic dynamics;Journal of Physics A: Mathematical and Theoretical;2019-04-23
5. Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere;Theoretical and Applied Mechanics;2019
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