This current picture is related to, yet it differs from, what we conjectured previously, in that the inverted (water-in-oil) emulsions was thought to fuse with the interface, following which a curvature reversal induced instability develops at the interface. In this work, the non-equilibrium MD-DPD simulations identify the intermediate state, which is the reminiscent of what was called cusp catastrophe by Dickinson .