  We study rotating global AdS solutions in five-dimensional Einstein gravity
coupled to a multiplet complex scalar within a cohomogeneity-1 ansatz. The
onset of the gravitational and scalar field superradiant instabilities of the
Myers-Perry-AdS black hole mark bifurcation points to black resonators and
hairy Myers-Perry-AdS black holes, respectively. These solutions are subject to
the other (gravitational or scalar) instability, and result in hairy black
resonators which contain both gravitational and scalar hair. The hairy black
resonators have smooth zero-horizon limits that we call graviboson stars. In
the hairy black resonator and graviboson solutions, multiple scalar components
with different frequencies are excited, and hence these are multioscillating
solutions. The phase structure of the solutions are examined in the
microcanonical ensemble, i.e. at fixed energy and angular momenta. It is found
that the entropy of the hairy black resonator is never the largest among them.
We also find that hairy black holes with higher scalar wavenumbers are
entropically dominant and occupy more of phase space than those of lower
wavenumbers.
