%0 Journal Article
%T Superintegrable Extensions of Superintegrable Systems
%A Claudia M. Chanu
%A Luca Degiovanni
%A Giovanni Rastelli
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2012
%I National Academy of Science of Ukraine
%X 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 three-particle Calogero systems.
%K superintegrable Hamiltonian systems
%K polynomial first integrals
%U http://dx.doi.org/10.3842/SIGMA.2012.070