2001 Dodge Intrepid Engine dies and won't restart for about

Car starts fine, but after driving about 4 minutes, I stop at a light. When the light changes and I begin accelerating, the engine dies. Starter cranks just fine, I can hear the fuel pump running when I first turn the key on. In later tests, I find that when I begin accelerating slowly, the engine will hesitate. If I let up on the accelerator, the engine will then begin running smoothly and I can accelerate normally. If I just accelerate normally, the engine will die. After 15 minutes, it will start but it first "stutters" for a few seconds while cranking before it finally runs smoothly. It does not throw any engine codes.