Hamiltonization and Integrability of the Chaplygin Sphere in R^n

Details Hamiltonization and Integrability of the Chaplygin Sphere in R^n Hamiltonization and Integrability of the Chaplygin Sphere in R^n

2009-02-25

arxiv.org/abs/0902.4397v2

Physics

Mathematical Physics

22 pages, Sections 1 and 5 are rewritten, to appear in Journal of Nonlinear Science

Scientific paper

10.1007/s00332-010-9067-9

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.

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