Symmetries in superintegrable deformations of oscillator/Coulomb   systems: "holomorphic factorization"
  We propose a unified description for the constants of motion for superintegrable deformations of the oscillator and Coulomb systems on N-dimensional Euclidean space, sphere and hyperboloid. We also consider the duality between these generalized systems and present some example. 
Tigran Hakobyan, Armen Nersessian, Hovhannes Shmavonyan
hep-th math-ph math.MP nlin.SI