2 possibilities: electronic components can fail when they get hot. That could be anything from the electronic ignition system to the fuel pump. The other possibility is the fuel filter could be plugging up with sediment which slowly closes off the filter element. Turning off the fuel pump briefly can allow the sediment to settle, letting the filter function briefly again. You need to try to find out why it stalls. Is it lack of fuel? Try to start it immediately after stalling, by using a little starting fluid. If it starts briefly when you shoot a little starting fluid, you probably have a fuel pump or filter problem.
with me it was the o2 censer
Wheel balance, bent rim, bad tire or worn steering components to name a few.
If it always goes back to normal later, I'd suspect fuel filter first. But other problems are possible.
Low fuel pressure
In my experience with my Chevy it was a ground wire
have you checked your fuses?
Bad heater core.
The 2005 Cavalier could have a fuel leak. Have the entire fuel system checked, as a fuel leak can cause a dangerous fire.
Catalytic converter. 9 out of 10 times when a car runs fin cool and stalls when warm, this is the problem.
There are several things that can cause your 1995 Chevy Cavalier transmission not to go into drive or reverse. The most common cause is a lack of transmission fluid. A broken shifting fork will also cause the problem.
Dead battery
Blown Head Gasket or Bad Cylinder Head