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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 3, Pages 3–9 (Mi ivm7240)  
This article is cited in 2 scientific papers (total in 2 papers)

Phase flows and vector Hamiltonians

V. N. Dumachev

Chair of Mathematics, Voronezh Institute of the Ministry of Internal Affairs of the Russia, Voronezh, Russia
Full-text PDF (165 kB) Citations (2)
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Abstract: 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.
Keywords: Liouville theorem, Hamilton vectors fields.
Received: 30.06.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 3, Pages 1–7
DOI: https://doi.org/10.3103/S1066369X11030017
Bibliographic databases:
Document Type: Article
UDC: 514.8
Language: Russian
Citation: V. N. Dumachev, “Phase flows and vector Hamiltonians”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 3, 3–9; Russian Math. (Iz. VUZ), 55:3 (2011), 1–7
Citation in format AMSBIB
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\by V.~N.~Dumachev
\paper Phase flows and vector Hamiltonians
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 3
\pages 3--9
\mathnet{http://mi.mathnet.ru/ivm7240}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2919802}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 3
\pages 1--7
\crossref{https://doi.org/10.3103/S1066369X11030017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952998964}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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