Once we had two kitties, one was 16 years old, the other was a very hyperactive kitten. We put a bell on the kitten so that at least the older cat could be aware of his presence when he started to lunge at her.

One time he was being such a pest towards her that I scooped him up and put him out the front door. Twenty seconds later I heard the thwap of the cat-door from the back of the house as he came running, full-tilt, back into the living room.