On generalized nonholonomic Chaplygin sphere problem

Abstract

We discuss linear in momenta Poisson structure for the generalized nonholonomic Chaplygin sphere problem and prove that it is non-trivial deformation of the canonical Poisson structure on e^*(3).

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References in corpus (3)

• Chaplygin ball over a fixed sphere: explicit integration
• Integrable Euler top and nonholonomic Chaplygin ball
• Simple non-Hamiltonian systems with an invariant measure

Cited by in corpus (1)

• On the Lie integrability theorem for the Chaplygin ball