2001 Dodge Neon Stuttering

I have a 2001 Dodge Neon with 147000 miles. I have never had any problems before with the car. I was at a stop light when my car just died. I was able to put into park and was able to restart just fine, and drove about a mile back to my house. No check engine lights came on before it died. I noticed as I was driving the next day that every time I came to a stop, my car starts shaking and stuttering like it wants to quit again. What could this possible be?