is this common on atkins this is one week on induction and I am cold in 80 degree weather ??? I feel great high energy, supressed appetite but im very sweaty although I am not hot at all I am just cold

Sounds to me like symptoms of "induction flu". When I did induction, I had very few symptoms -- only a headache (which was more likely triggered by stopping my diet coke habit). Since you have indications of being in ketosis (supressed appetitie, for example), my guess is that feeling cold will shortly go away.

I have noticed, however, that I am much better able to bear the heat having done Atkins, losing 47 pounds, and drinking 72+ ounces of water a day. But I can't say that I've been cold during the 100+ degree weather of the past couple weeks.

I don't remember ever being cold. I remember sweating alot!!