On the Lie integrability theorem for the Chaplygin ball

DOI10.1134/S1560354714020038zbMath1335.37046arXiv1312.1055MaRDI QIDQ2513961

Andreĭ Vladimirovich Tsyganov

Publication date: 29 January 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1055

zbMATH Keywords

Poisson bracketChaplygin ballnonholonomic dynamical systemLie theorem

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)

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Poisson structures for two nonholonomic systems with partially reduced symmetries ⋮ Dynamics and control of an omniwheel vehicle ⋮ Cartan meets Chaplygin ⋮ Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane

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