paper

Partial Reductions of Hamiltonian Flows and Hess-Appel'rot Systems on SO(n)

arXiv:math-ph/0611062 · doi:10.1088/0951-7715/20/2/001

Abstract

We study reductions of the Hamiltonian flows restricted to their invariant submanifolds. As examples, we consider partial Lagrange-Routh reductions of the natural mechanical systems such as geodesic flows on compact Lie groups and -dimensional variants of the classical Hess-Appel'rot case of a heavy rigid body motion about a fixed point.

20 pages

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Partial Reductions of Hamiltonian Flows and Hess-Appel'rot Systems on SO(n) · wovepaper