I have the same car ..mine did that also.. I took it to Autozone they tested it told me it was the o2 sensor.. it's a really easy fix right up front on the exhaust manifold.. Runs great now

I had the same problem with my 01 eclipse... it turned out to be my ignition coil... you should have yours checked out... only problem is that it costs about 345$ or more... one thing to remember is that ignition coils either work or they don't... if the person who looks at your vehicle says that your igniton coil is going out ... they are lying and are just trying to get your money... good luck!

Throttle Position Sensor or loose throttle cable. Good luck