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Regular and Chaotic Dynamics, 2006, Volume 11, Issue 3, Pages 343–362
DOI: https://doi.org/10.1070/RD2006v011n03ABEH000358 (Mi rcd681) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Towards a classification of natural integrable systems

A. V. siganov

V. A. Fock Institute of Physics, St. Petersburg State University, 1, Ulyanovskaya str., Petrodvorets 198504, St. Petersburg, Russia
Citations (6)
DOI: https://doi.org/10.1070/RD2006v011n03ABEH000358
Abstract: For construction and classification of the natural integrable systems we propose to use a criterion of separability in Darboux–Nijenhuis coordinates, which can be tested without an a priori explicit knowledge of these coordinates. As an example we apply this method for the search of integrable systems on the plane.
Keywords: integrable systems, bi-Hamiltonian geometry, separation of variables.
Received: 24.03.2006
Accepted: 07.07.2006
Bibliographic databases:
Document Type: Article
MSC: 37K10, 70E17, 70E40
Language: English
Citation: A. V. siganov, “Towards a classification of natural integrable systems”, Regul. Chaotic Dyn., 11:3 (2006), 343–362
Citation in format AMSBIB
\Bibitem{Tsi06}
\by A. V. siganov
\paper Towards a classification of natural integrable systems
\jour Regul. Chaotic Dyn.
\yr 2006
\vol 11
\issue 3
\pages 343--362
\mathnet{http://mi.mathnet.ru/rcd681}
\crossref{https://doi.org/10.1070/RD2006v011n03ABEH000358}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2286565}
\zmath{https://zbmath.org/?q=an:1164.37339}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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