Authors: Jovanović, Božidar 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Partial reductions of Hamiltonian flows and Hess-Appel'rot systems on SO(n)
Journal: Nonlinearity
Volume: 20
Issue: 2
First page: 221
Last page: 240
Issue Date: 1-Feb-2007
Rank: M21
ISSN: 0951-7715
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 n-dimensional variants of the classical Hess-Appel'rot case of a heavy rigid body motion about a fixed point.
Publisher: IOP Science

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