  In this work we consider the oscillations and associated resonance of a 2D
Bose-Einstein condensate under periodic and random modulations of the atomic
scattering length. For random oscillations of the trap potential and of the
atomic scattering length we are able to calculate the mean growth rate for the
width of the condensate. The results obtained from the reduced ODE's for
oscillations of the width of condensate are compared with the numerical
simulations of the full 2D Gross-Pitaevskii equation with modulated in time
coefficients.
