Normal forms for skew-symmetric matrices and Hamiltonian systems with first integrals linear in momenta
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- by G. Thompson PDF
- Proc. Amer. Math. Soc. 104 (1988), 910-916 Request permission
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
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 910-916
- MSC: Primary 58F05; Secondary 15A21, 34C20, 70H05
- DOI: https://doi.org/10.1090/S0002-9939-1988-0964872-9
- MathSciNet review: 964872