A paper claims a generalized Kustaanheimo-Stiefel duality between N=2n singular oscillators and (n+1)-dimensional generalized MICZ-Kepler systems, with exact solutions and hidden symmetry algebras, but the required transformation only provably exists for special n.
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Generalized KS transformations, $ND$ singular oscillator and generalized MICZ-Kepler system
A paper claims a generalized Kustaanheimo-Stiefel duality between N=2n singular oscillators and (n+1)-dimensional generalized MICZ-Kepler systems, with exact solutions and hidden symmetry algebras, but the required transformation only provably exists for special n.