Geodesic
Phase flows in $J^{n}(\pi)$
Russian journal of nonlinear dynamics, Tome 2 (2006) no. 3, pp. 287-292.

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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.
Mots-clés : Liouville theorem
Keywords: Hamilton vectors fields. 
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     author = {V. N. Dumachev},
     title = {Phase flows in $J^{n}(\pi)$},
     journal = {Russian journal of nonlinear dynamics},
     pages = {287--292},
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     volume = {2},
     number = {3},
     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/ND_2006_2_3_a2/}
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V. N. Dumachev. Phase flows in $J^{n}(\pi)$. Russian journal of nonlinear dynamics, Tome 2 (2006) no. 3, pp. 287-292. http://geodesic.mathdoc.fr/item/ND_2006_2_3_a2/