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arXiv · 1902.07036

Hamiltonization and separation of variables for Chaplygin ball on a rotating plane

A. V. Tsiganov
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Abstract

We discuss a non-Hamiltonian vector field appearing in consideration of a partial motion of the Chaplygin ball rolling on a horizontal plane which rotates with constant angular velocity. In two partial cases this vector field is expressed via Hamiltonian vector fields using a non-algebraic deformation of the canonical Poisson bivector on e^*(3). For the symmetric ball we also calculate variables of separation, compatible Poisson brackets, algebra of Haantjes operators and 2x2 Lax matrices.

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A. V. Tsiganov. 2019-02-19. Hamiltonization and separation of variables for Chaplygin ball on a rotating plane. https://doi.org/10.1134/s1560354719020035

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