A theoretical and experimental investigation of the stability of the m
odulated Bow in a Taylor-Couette geometry with both cylinders subject
to in-phase or out-of-phase modulated rotation with the same amplitude
and frequency is presented. The experimental observations for in-phas
e modulations show that the Bow is stabilized at high and low modulati
on frequencies while some destabilization at intermediate frequencies
is revealed, in agreement with the theoretical results from a linear s
tability analysis carried out in the narrow gap limit. The observation
s for out-of-phase modulations show stabilization at high frequencies
while for low modulation frequencies the stability curve reaches an as
ymptotic value somewhat higher than the one corresponding to the onset
of instability for steady Couette Bow between counter-rotating cylind
ers. The numerical results obtained in this case compare well with the
experimental findings at high and moderate frequencies, but show some
disagreement at low frequencies.