Hamiltonization and Integrability of the Chaplygin Sphere in R^n

Bozidar Jovanovic

Published 2009-02-25, updated 2010-03-22Version 2

The paper studies a natural $n$-dimensional generalization of the classical nonholonomic Chaplygin sphere problem. We prove that for a specific choice of the inertia operator, the restriction of the generalized problem onto zero value of the SO(n-1)-momentum mapping becomes an integrable Hamiltonian system after an appropriate time reparametrization.