Geodesic
Phase flows and vector Hamiltonians
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2011), pp. 3-9

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We present generalization of the Nambu mechanics on the base of Liouville theorem. We prove that Poisson structure of $n$-dimensional multi-symplectic phase space is induced by $(n-1)$ Hamilton $k$-vectors fields. Each of these fields requires introduction of $k$-hamiltonians.
Mots-clés : Liouville theorem
Keywords: Hamilton vectors fields. 
@article{IVM_2011_3_a0,
     author = {V. N. Dumachev},
     title = {Phase flows and vector {Hamiltonians}},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--9},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_3_a0/}
}
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V. N. Dumachev. Phase flows and vector Hamiltonians. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2011), pp. 3-9. http://geodesic.mathdoc.fr/item/IVM_2011_3_a0/