The conventional view is that dogs chase cats, not the other way around. I have only had dogs as companions so have never experienced what the dynamic is between members of these two species if they live together.
But from reader Norm I received this video that indicates that in homes that have both dogs and cats, the cats seemed to be quite mean to the dogs and the latter, even big German Shepherds, were quite intimidated by them.
I had read somewhere a long time ago that dogs, being herd animals, had developed rules of behavior in a pack, one of which required them to not attack smaller dogs and that this is why larger dogs seem to allow smaller ones to seemingly bully them until they get too obnoxious. Is that what is going on in the video? Or are the big dogs actually scared of the smaller cats?