The 2D airflow over 8%-thick double wedges is studied numerically. Solutions of an initial-boundary value problem for the system of Euler equations are obtained with a finite-volume solver. The solutions demonstrate non-unique flow regimes in significant bands of the given inflow Mach number M₈. The realization of a certain regime depends on the time history of M₈ and angle of attack. At the endpoints of the bifurcation bands, there are abrupt changes of the flow structure.