  We study radial perturbations of spherically symmetric spin-$0$ and spin-$1$
bosonic stars, computing numerically the squared frequency of the fundamental
mode. We find that not all critical points $-$ where the Arnowitt-Deser-Misner
mass attains an extremum $-$ correspond to zero modes. Thus, radial stability
does not $\textit{always}$ change at such critical points. The results are in
agreement with the so-called critical point method.
