I was bored so I searched the interwebs. I found some information on some other car forums where the same symptom was reported after replacing the car's battery (which is kind of similar to recharging a dead battery). It's possible that you may have to reprogram your key fob. Perhaps the following thread can help (though the procedure in the first post apparently doesn't work on the Camaro):
http://www.camaro5.com/forums/showthread.php?t=93145
There is a procedure in the owner's manual as well.