I did lose my cycle going lower carb, but after much research and adding a bunch of stuff back into my diet that I probably could've done without, I came across an interesting post suggesting Iodine.

Apparently when you cut out the junk your biggest source of iodine goes down.  Many people don't use iodized table salt anymore either.  Has anyone experimented with iodine to see if it restores menstruation? 

I've just started taking it although I gained my cycle back two months ago after several rounds of Clomid, which apparently is frequently used to treat amenorrhea.  I think I'm going to try to cut out a lot of the carbs again as my reactive hypoglycemia is acting up and see if I can keep my cycle in the long run with the iodine supplementation.