Exact reduction of Liouville integrable Hamiltonian systems with polynomial additional integrals |
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| Author |
Faculty of Mechanics and Mathematics, Lviv Ivan Franko National University
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| Abstract |
The paper is devoted to the problem of exact reduction
of some special Hamiltonian systems. The existence of the full
collection of first integrals in involution for the reduced
systems is proved for the case of first integrals which are
polynomial in the momenta.
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| Keywords |
exact reduction, Hamiltonian system, involution
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| DOI |
doi:10.30970/ms.21.1.109-112
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Reference |
1. Moser J. Various aspects of integrable Hamiltonian systems // Progress in Mathematics, Vol.8, Dynamical Systems. Birkhauser, 1980, P.233–289.
2. Perelomov A. M. Integrable System of Classical Mechanics and Lie Algebras. I, Birkhauser, Basel 1990. |
| Pages |
109-112
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| Volume |
21
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| Issue |
1
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| Year |
2004
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| Journal |
Matematychni Studii
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| Full text of paper | |
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