  In order to study the rotating strongly coupled Bose-Einstein
condensations(BEC), a holographic model defined in an AdS black hole that duals
to a coupled two-component condensations in global $U(1)$ symmetry broken phase
with intercomponent coupling $\eta$ and internal coherent coupling $\epsilon$
is proposed. By solving the dynamics of the model, we study the process of
formation and also the crossover from fractional to integer vortex phases. With
changing only $\eta$ from zero to a finite value, fractional vortex lattices
undergo a transition from hexagon to square lattice and finally to vortex
sheets. By continuing to turn on $\epsilon$, we find that two fractional
vortices in different components constitute dimers, and when $\eta$ transcend a
critical value, multi-dimer like hexamer or tetramer made up of two and three
dimers appear. As $\epsilon$ keeps increasing, some dimers rotate to adjust
themselves and then constitute the lattice of integer vortices. Under an
initial conditions similar to an spinor BEC vortices dynamics experiment, the
appearance of disordered turbulence is found in the process of fractional
vortex generation, which matches the experimental observation. While in the
formation process of integer vortices, the appearance of grooves is predicted.
