A method of operating a rotating
detonation combustor (104, 104', 108, 108', 114, 114') includes providing (S702) a flow of air (80, 98) through an air inlet (154, 154') to flow into a
detonation chamber (128), providing (S703) a flow of fuel (68, 102) from at least one fuel
injector (160, 160') into the
detonation chamber (128), mixing (S704) the flow of the fuel (68, 102) and the flow of the air (80, 98) in the detonation chamber (128) to generate a fuel-air mixture (111), detonating (S705) the fuel-air mixture (111) in the detonation chamber (128) to generate rotating detonation
waves (106, 112) within the detonation chamber (128), and controlling (S706-S715), during operation of the rotating detonation
combustor (104, 104', 108, 108', 114, 114') from a first power operating state to a second power operating state, different from the first power operating state, the air inlet wall (164, 164') to control the flow of the air (80, 98) through the air inlet (154, 154') into the detonation chamber (128) to control a
discharge coefficient and an operating mode within the detonation chamber (128).