ON GENERALIZED NONHOLONOMIC CHAPLYGIN SPHERE PROBLEM

DOI10.1142/S0219887813200089zbMath1272.53075arXiv1211.3219OpenAlexW2963086951MaRDI QIDQ2845333

Andreĭ Vladimirovich Tsyganov

Publication date: 22 August 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3219

zbMATH Keywords

nonholonomic systemsPoisson bracketsChaplygin ball

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items

On the Lie integrability theorem for the Chaplygin ball, Poisson structures for two nonholonomic systems with partially reduced symmetries

Cites Work

• One family of conformally Hamiltonian systems
• Integrable Euler top and nonholonomic Chaplygin ball
• Chaplygin ball over a fixed sphere: an explicit integration
• One invariant measure and different Poisson brackets for two non-holonomic systems
• Chaplygin's ball rolling problem is Hamiltonian