Audio dropping out in car stereo AUX

The same thing happens in my car and seems to be a function of the output volume.  If the volume is turned down too low the “No Aux” message appears until I turn it up, and it also happens on SOME audiobooks between chapters depending on the gap.  

If I turn the volume on my player up all the way, it usually generates enough low-level noise to avoid the drop-out problem except for the longest gaps between chapters.  In my case it’s more an issue with the car stereo than the player apparently.