Implicit Hamiltonian Systems with Symmetry

摘要

Implicit Hamiltonian systems with symmetry are treated by exploiting the notion211u001eof symmetry of Dirac structures. It is shown how Dirac structures can be reduced 211u001eto Dirac structures on the orbit space of symmetric group, leading to a reduced 211u001eimplicit (generalized) Hamiltonian system. The approach is specialized to 211u001enonholonomic mechanical systems with symmetry.