  The occurrence of magnetohydrodynamic (MHD) quasiperiodic flows with four
fundamental frequencies in differentially rotating spherical geometry is
understood in terms of a sequence of bifurcations breaking the azimuthal
symmetry of the flow as the applied magnetic field strength is varied. These
flows originate from unstable periodic and quasiperiodic states with broken
equatorial symmetry but having four-fold azimuthal symmetry. A posterior
bifurcation gives rise to two-fold symmetric quasiperiodic states, with three
fundamental frequencies, and a further bifurcation to a four-frequency
quasiperiodic state which has lost all the spatial symmetries. This bifurcation
scenario may be favoured when differential rotation is increased and periodic
flows with $m$-fold azimuthal symmetry, $m$ being product of several prime
numbers, emerge at sufficiently large magnetic field.
