Does Angela Jolie count? When I look at her, I feel a great attractive force, but then find myself repulsed when I read about the weird things she's into.Then maybe strange attractors aren't irrelevant.
On a serious note, this is close to correct. Mathematically, there are actually three main types of selection, each of which yields different end results. When plotted as phase planes, one of these types looks similar to what you suggest, except that I can't call it "snapping to" so much as spiralling toward or away from key points.When an evolutionary trajectory gets near certain preferred trajectories, it snaps to the preferred trajectory?