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Normal forms for skew-symmetric matrices and Hamiltonian systems with first integrals linear in momenta

Author: G. Thompson
Journal: Proc. Amer. Math. Soc. 104 (1988), 910-916
MSC: Primary 58F05; Secondary 15A21, 34C20, 70H05
MathSciNet review: 964872
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Abstract: 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.

References [Enhancements On Off] (What's this?)

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Article copyright: © Copyright 1988 American Mathematical Society

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