Notice that the phase angle in this model is set to pi/2 = 1.57 radians. Let the Poincaré section view run long enough so you can see some detail of the cross-section. Then take a look at the other views.

Using a phase angle of a quarter of a circle has the effect you might expect. It rotates the image relative to the (p,v) plane section by 90 degrees in the Phase Space Orbit view. This translates to a new starting point in the other views as well. The initial conditions of (3,4) were chosen to minimize the starting transient with the original phase angle of zero. You may have noticed it took a lot longer to settle down with this new phase angle. In the Poincaré Section view you saw a distinctly different cross section than you did previously. We have in effect just sliced the orbit at a different location.