Superintegrable Extensions of Superintegrable Systems

A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E^2 and S^2 and for a family of systems defined on constant curvature manifolds. The procedure results effective in many cases including Tremblay-Turbiner-Winternitz and th...

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Bibliographic Details
Main Authors: Claudia M. Chanu, Luca Degiovanni, Giovanni Rastelli
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.070