On the Chaplygin problem of the rolling of a ball

DOI10.1134/S0001434613090319zbMath1348.70013MaRDI QIDQ2436395

Andreĭ Vladimirovich Tsyganov

Publication date: 24 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mz/v94/i4/p637

zbMATH Keywords

Poisson bracketChaplygin ballLie coalgebra \(e^*(3)\)rolling of a ball

Mathematics Subject Classification ID

Applications of Lie algebras and superalgebras to integrable systems (17B80) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Motion of a rigid body in contact with a solid surface (70E18)

Cites Work

• Integrable Euler top and nonholonomic Chaplygin ball
• Chaplygin's ball rolling problem is Hamiltonian
• Unnamed Item

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