I have a 2013 2500 Laramie that does the same thing. I went to the dealer and their final conclusion was it was normal. Another truck did the same thing. As it was explained to me, it is the accessory power buss shutting off or turning on. I have keyless go and the truck will actually move the doors if I just walk by. The doors have a default position, which apparently is not the same position I use. So each time the truck thinks it might start up, it moves the doors to the position set in the AC controls. Each time it shuts down, it moves the doors to the default position. The shutoff is several minutes after engine off, and startup is whenever the truck senses a driver nearby or the truck is unlocked.
At least this is better than my wife's car. Her Bluetooth hands free is on all the time. The car will answer cell calls that come in on her phone whenever she is in range. If she is walking up to the car in a parking lot, the car steals the call from the handset. If her phone is in the kitchen (adjacent to the garage) the car will answer incoming calls and take over outgoing calls.
Al