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Zapiski Nauchnykh Seminarov LOMI, 1986, Volume 155, Pages 187–189 (Mi znsl5169)  
This article is cited in 4 scientific papers (total in 4 papers)

Interpretation of integrable systems of the anharmonic oscillator type via the method of orbits

A. G. Reiman
Full-text PDF (209 kB) Citations (4)
Abstract: Some recently discovered integrable Hamiltonian systems with quartic potential are incorporated in the $r$-matrix approach using affine Lie algebras. The phase space of these systems is shown to be a coadjoint orbit of a subalgebra of a suitable twisted loop algebra.
English version:
Journal of Soviet Mathematics, 1988, Volume 41, Issue 2, Pages 999–1001
DOI: https://doi.org/10.1007/BF01247096
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. G. Reiman, “Interpretation of integrable systems of the anharmonic oscillator type via the method of orbits”, Differential geometry, Lie groups and mechanics. Part VIII, Zap. Nauchn. Sem. LOMI, 155, "Nauka", Leningrad. Otdel., Leningrad, 1986, 187–189; J. Soviet Math., 41:2 (1988), 999–1001
Citation in format AMSBIB
\Bibitem{Rei86}
\by A.~G.~Reiman
\paper Interpretation of integrable systems of the anharmonic oscillator type via the method of orbits
\inbook Differential geometry, Lie groups and mechanics. Part~VIII
\serial Zap. Nauchn. Sem. LOMI
\yr 1986
\vol 155
\pages 187--189
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5169}
\zmath{https://zbmath.org/?q=an:0619.58022}
\transl
\jour J. Soviet Math.
\yr 1988
\vol 41
\issue 2
\pages 999--1001
\crossref{https://doi.org/10.1007/BF01247096}
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  • https://www.mathnet.ru/eng/znsl/v155/p187
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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