  The collisional dynamics of two symmetric droplets with equal intraspecies
scattering lengths and particle number density for each component is studied by
solving the corresponding extended Gross-Pitaevskii equation in two dimensions
by including a logarithmic correction term in the usual contact interaction. We
find the merging droplet after collision experiences a quadrupole oscillation
in its shape and the oscillation period is found to be independent of the
incidental momentum for small droplets. With increasing collision momentum the
colliding droplets may separate into two, or even more, and finally into small
pieces of droplets. For these dynamical phases, we manage to present boundaries
determined by the remnant particle number in the central area and the damped
oscillation of the quadrupole mode. A stability peak for the existence of
droplets emerges at the critical particle number $N_c \simeq 48$ for the
quasi-Gaussian and flat-top shapes of the droplets.
