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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2006, Volume 2, Number 3, Pages 287–292
(Mi nd170)
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This article is cited in 1 scientific paper (total in 1 paper)
Phase flows in $J^{n}(\pi)$
V. N. Dumachev Voronezh Institute of Russian Ministry of Internal Affairs
Abstract:
On the basis of Liouville theorem the generalization of the Nambu mechanics is considered. Is shown, that Poisson manifolds of $n$-dimensional multi-symplectic phase space have inducting by $(n-1)$ Hamilton $k$-vectors fields, each of which requires of $(k)$-hamiltonians.
Keywords:
Liouville theorem, Hamilton vectors fields.
Citation:
V. N. Dumachev, “Phase flows in $J^{n}(\pi)$”, Nelin. Dinam., 2:3 (2006), 287–292
Linking options:
https://www.mathnet.ru/eng/nd170 https://www.mathnet.ru/eng/nd/v2/i3/p287
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