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Using the second Hopf map, we perform the reduction of the eight-dimensional(pseudo)spherical (Higgs)oscillator to a five-dimensional system interactingwith a Yang monopole. Then, using a standard trick, we obtain, from the lattersystem, the pseudospherical and spherical generalizations of the Yang-Coulombsystem (the five dimensional analog of MICZ-Kepler system). We present thewhole set of its constants of motions, including the hidden symmetry generatorsgiven by the analog of Runge-Lenz vector. In the same way, starting from theeight-dimensional anisotropic inharmonic Higgs oscillator, we construct theintegrable (pseudo)spherical generalization of the Yang-Coulomb system with theStark term.

Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere