Awsome stuff... First if you want to hunt them their hinds/pelts would be nicer in winter anyway, But your Bobcat season is 12/1 to 2/28
That is all I could find out but I would imagine it is similar to Va. We have a continuous open season on Coyotes they are considered a nuisance species and a regular season similar to yours on the cats.
you can get what you need from Ga. Dept. of Resources
www.gadnr.org/
or Wildlife resource division 770-761-3044