A REDUCTION PROPERTY FOR A CLASS OF MECHANICAL SYSTEMS WITH FRICTION
F. Cantrijn
Abstract. A reduction scheme is established for a special class of
non-Hamiltonian systems, defined on a cotangent bundle, which are invariant
under the Hamiltonian action of a compact Lie group and for which the
corresponding momentum map yields a conformal invariant. The reduction is
constructed in terms of a suitably normalized momentum map and the reduced
spaces are canonical manifolds. The class of systems under consideration in
particular encompasses the phase space description of certain types of
mechanical systems with friction.
Keywords. Symmetry, reduction, canonical manifolds.
MS classification. 58F05, 70G99.