I don't know anything about cats, but I've never seen a cat act like that. He just stays in one spot for hours at a time, just staring. He cleans himself and he does look up at me when I go to the window, but it is a bit odd to me. Again, though, I don't know if this is normal cat behavior. I don't think he's rabid or anything. He might've been looking at a squirrel or a bird in this picture. He's facing a little courtyard.