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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 031, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.031 (Mi sigma708) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Superintegrable Stäckel systems on the plane: elliptic and parabolic coordinates

Andrey V. Tsiganov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (273 kB) Citations (5)
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DOI: https://doi.org/10.3842/SIGMA.2012.031
Abstract: Recently we proposed a generic construction of the additional integrals of motion for the Stäckel systems applying addition theorems to the angle variables. In this note we show some trivial examples associated with angle variables for elliptic and parabolic coordinate systems on the plane.
Keywords: integrability, superintegrability, separation of variables, Abel equations, addition theorems.
Received: April 10, 2012; in final form May 21, 2012; Published online May 25, 2012
Bibliographic databases:
Document Type: Article
MSC: 37J35, 70H06
Language: English
Citation: Andrey V. Tsiganov, “Superintegrable Stäckel systems on the plane: elliptic and parabolic coordinates”, SIGMA, 8 (2012), 031, 9 pp.
Citation in format AMSBIB
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\paper Superintegrable St\"ackel systems on the plane: elliptic and parabolic coordinates
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
     
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