  We predict the loss of superfluidity in a Bose-Einstein condensate in an
axially symmetric harmonic trap alone during resonant collective oscillations
via a classical dynamical transition. The forced resonant oscillation can be
initiated by (a) a periodic modulation of the atomic scattering length with a
frequency that equals twice the radial trapping frequency or multiples thereof,
or by (b) a periodic modulation of the radial trapping potential with a
frequency that equals the radial trapping frequency or multiples thereof.
Suggestion for future experiment is made.
