I see flaws in the model.
First, it is a 2D program and we only get to see an atom thick slice of reality for magnetic interactions.
Second, the magnets will not move naturally in the manner shown. As they draw to the center they are in opposition to each other and will resist the compression shown.
Third, the springs are there to pull the magnets back, but they work against the compression period.
Forth, the model does not show a magnetic mechanism for the slow inward ramp and fast retract.
For this model to function as demonstrated, there must be energy applied somewhere. On the surface it would seem that the entry hill is compounded by the listed forces as well as the resistance encountered my the opposing stator/rotor encroachment. The exit hill will simply be the inverse of the entry hill.
It looks like a conservative system. What am I missing?
ETA: Perhaps J shaped rotor mags will be a better fit for this design. Also, perhaps a Non-Newtonian fluid diaphragm could be useful somehow.