They refer to this as the "homelink module". The part # is 5170522AA.

This is located inside the vehicle at the center of the headliner by the windshield.

The price I was quoted is the regular price through the dealer BUT if you order online through the following site, it shows a cost of $356....................pretty BIG savings!

Buy Mopar Car Truck Parts | Genuine Discounted Mopar OEM Auto Parts | Mopar Accessories

I got this information from a Chrysler Expert Mechanic. I checked it out and it is exactly as stated. Not a chip more like a box. I will look under the hood tonight when I get home.