On the Lie Integrability Theorem for the Chaplygin Ball

2014, Volume 19, Number 2, pp. 185-197

Author(s): Tsiganov A. V.

The necessary number of commuting vector fields for the Chaplygin ball in the absolute space is constructed. We propose to get these vector fields in the framework of the Poisson geometry similar to Hamiltonian mechanics.

Keywords: nonholonomic dynamical system, Poisson bracket, Lie theorem, Chaplygin ball

Citation: Tsiganov A. V., On the Lie Integrability Theorem for the Chaplygin Ball, Regular and Chaotic Dynamics, 2014, Volume 19, Number 2, pp. 185-197

DOI: 10.1134/S1560354714020038

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