# Pitchfork Bifurcation - subcritical and supercritical?

I am slightly confused about the terminology of a subcritical and supercritical pitchfork bifurcation. Consider the diagrams below:

(both pictures from wikipedia, by Claudio Rocchini, CC by 2.5)

I know the LHS one to be a subcritical pitchfork and the RHS one to be a supercritical. But I was wondering how the following pitchforks would be classified:

(Pictures as above but flipped)

I would guess that the LHS one would still be a subcritical and the RHS one a supercritical however any definition or description that I have found talks about a subcritical as been one where two unstable fixed points join with a stable as the bifurcation parameter is increased. And likewise for a supercritical, it is described as one where a stable fixed point loses its stability and turns into a unstable fixed point creating two stable once (again as the bifurcation parameter increases). Thus of what type are the latter bifurcations? (a source would be great).

The reason that "everyone talks about two upper figures" is because this bifurcation is introduced through its normal form $$\dot x=\mu x\pm x^3,$$ where plus and minus correspond to sub- and supercritical bifurcation respectively. Equally easy you can consider $$\dot x=-\mu x\pm x^3,$$ which will produce two lower pictures.