Since updating the Logitech driver for my g920 I have had a bad problem with shaking when the wheel is centred. This was a problem for me in project cars increasing in strength the faster you went to the point where you couldn't hold on It's the similar here except not as strong and at all speed. It will have a good 60 degree radius that it moves by its self at 10km/h Is this a Logitech bug or is it a problem that can be fixed by the game devs?
my G27 did that also. I listed my settings in the controller profile thread but the easiest way to get rid of some of the center shake is to add spring in both the profiler and in game - it will completely eliminate it.