PARTIAL REDUCTIONS OF HAMILTONIAN FLOWS AND HESS-APPEL’ROT SYSTEMS ON SO(n)
نویسنده
چکیده
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. MSC: 37J35, 37J15, 53D20
منابع مشابه
Symmetries and Integrability
This is a survey on finite-dimensional integrable dynamical systems related to Hamiltonian G-actions. Within a framework of noncommutative integrability we study integrability of G-invariant systems, collective motions and reduced integrability. We also consider reductions of the Hamiltonian flows restricted to their invariant submanifolds generalizing classical Hess–Appel’rot case of a heavy r...
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