1998 Chevrolet Tracker turns off when decelerating!

Hello.

I have a 1998 Chevrolet Tracker.

My problem is this: Whenever I accelerate real fast, the car makes a sound like it's struggling (similar to manual transmission cars when one doesn't shift to the next gear), and on the next full stop (to a street light or stop sign), it turns off!
As I'm slowing down to the full stop, and the KMHs decrease to 0, the RPMs also go down to 0, when they should stay at 1,000 RPM (I think).
Since I don't know much about cars, I asked around and was told that it may have to do with the engine timing or the fuel injection system.

Any ideas?

Thank you for your time,
José Martínez