i think the season starts in november but i'm not 100% sure. good luck trying to get them. i took one last year in mississippi with my bow at less than 5 yards. not trying to brag, but i think that's a pretty amazing accomplishment. they are pretty hard to get close to. their senses are much more keen than a deers. try calling or using a decoy.
Here is the link on the LDWF web site. Look at the top of page 23. This is what the bob cat regulations were for last year.
http://www.wlf.state.la.us/pdfs/hunting/LA2006hunting.pdf