if you yawn at a cat, you can make it yawn

I believe that's subtly different, FB - it's about you and the cat saying that you are relaxed in one another's company. You can also try letting your eyes close slowly, and often a friendly cat will copy you, showing that it is relaxed in your presence. It'll often, say, jump into your lap after.

Didn't know about the baby reaction, though. Have to try that.