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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 133, Number 3, Pages 475–484
DOI: https://doi.org/10.4213/tmf412 (Mi tmf412) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Bi-Hamiltonian Aspects of the Separability of the Neumann System

M. Pedroni

University of Genova, Department of Mathematics
Full-text PDF (221 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf412
Abstract: The Neumann system on the two-dimensional sphere is used as a tool to convey some ideas on the bi-Hamiltonian standpoint on separation of variables. We show that from this standpoint, its separation coordinates and its integrals of motion can be found systematically.
Keywords: integrable systems, Neumann system, separation of variables, bi-Hamiltonian geometry.
English version:
Theoretical and Mathematical Physics, 2002, Volume 133, Issue 3, Pages 1722–1729
DOI: https://doi.org/10.1023/A:1021374611130
Bibliographic databases:
Language: Russian
Citation: M. Pedroni, “Bi-Hamiltonian Aspects of the Separability of the Neumann System”, TMF, 133:3 (2002), 475–484; Theoret. and Math. Phys., 133:3 (2002), 1722–1729
Citation in format AMSBIB
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\paper Bi-Hamiltonian Aspects of the Separability of the Neumann System
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\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 133
\issue 3
\pages 1722--1729
\crossref{https://doi.org/10.1023/A:1021374611130}
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  • https://doi.org/10.4213/tmf412
  • https://www.mathnet.ru/eng/tmf/v133/i3/p475
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:43
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