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

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

2006-11-23

arxiv.org/abs/math-ph/0611062v1

Nonlinearity 20 (2007) 221-240

Physics

Mathematical Physics

20 pages

Scientific paper

10.1088/0951-7715/20/2/001

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
$n$-dimensional variants of the classical Hess-Appel'rot case of a heavy rigid
body motion about a fixed point.

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