There is a fuel shutoff switch located (usually in the trunk) that senses when the vehicle is going to be flipped over so that it can cut off fuel to the vehicle in case of a rollover.
I beleive it is a mercury metronome type switch.
So if you do go too fast into a corner and the g forces pull the lever too far you will loose fuel to the engine.
I always thought that they trip and had to be reset manually by pushing a button, maybe you should talk to a service Tech about that though.
Or, of course, you could be low on fuel, but I would tend to think that if it was a short time without fuel in the fuel sender you would still have to use up what is in the line and that you probably would not feel it as soon as you hit the corner and more if you have been cornering for a while.