Geodesic
Superintegrable Stäckel systems on the plane: elliptic and parabolic coordinates
Symmetry, integrability and geometry: methods and applications, Tome 8 (2012) Cet article a éte moissonné depuis la source Math-Net.Ru

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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, addition theorems.
Mots-clés : Abel equations 
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     author = {Andrey V. Tsiganov},
     title = {Superintegrable {St\"ackel} systems on the plane: elliptic and parabolic coordinates},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a30/}
}
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Andrey V. Tsiganov. Superintegrable Stäckel systems on the plane: elliptic and parabolic coordinates. Symmetry, integrability and geometry: methods and applications, Tome 8 (2012). http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a30/

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