1983 Chevy Camaro

Engine Performance problem
1983 Chevy Camaro V8 65000 miles

I have an 83 crossfire injection, and it runs great and idles fine for like 30-45 mins I can drive it around like normal and no problems but after that you come to turn or stop and once the motor gets under 1k it like sputters from 1k to like 500 it acts like its running out of gas then it dies but fires right back up when you try to start it. It can sit all night I go back out and drive it the next day and the same thing runs for about 30-45 minutes and will do it for the rest of day until it sits for like 4 hours. The fuel filter has been changed it just got new air filters. The fuel pump has also been recently changed and theres only 65,000 miles on the car.