Abstract
In this paper we demonstrate the effectiveness of the action-angle variables in the study of superintegrable systems. As an example, we construct the spherical and pseu-dospherical generalizations of the two-dimensional superintegrable models introduced by Tremblay, Turbiner and Winternitz and by Post and Winternitz.
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The work was partially supported by the Volkswagen Foundation grant I/84 496, by the grant PS2908 of Armenian Science and Education foundation based in New York and by the grants 11-1c258 and 11AB-001 of the Armenian State Committee of Science.
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Hakobyan, T., Lechtenfeld, O., Nersessian, A. et al. Action-angle variables and novel superintegrable systems. Phys. Part. Nuclei 43, 577–582 (2012). https://doi.org/10.1134/S1063779612050152
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DOI: https://doi.org/10.1134/S1063779612050152