Normal Forms for Skew-symmetric Matrices and Hamiltonian Systems with First Integrals Linear in Momenta

نویسنده

  • G. THOMPSON
چکیده

Using an appropriate notion of equivalence, those classical Hamiltonian systems which admit a first integral of motion polynomial of degree one in momentum are classified. The classification is effected by means of finding a normal form for a skew-symmetric matrix under the action of orthogonal symmetry.

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تاریخ انتشار 2010