Interested in Language
in addition, in what context is the word better than the other?
The weather brings ferocious/atrocious wind.
Vampires are ferocious/atrocious beast.
Atrocious means extremely wicked, very bad. It generally refers to an action or a situation - hence "atrocity".
Ferocious means fierce, savage, cruel. It generally refers to an individual or individuals, or animal(s).
So I would go with ferocious for vampires. But for weather/wind it's not so simple. Perhaps: "The weather is atrocious because of the ferocious wind" [although one wouldn't actually string 2 "ocious's together in the same sentence).