Keep in mind that if there is some transient behavior before a plot settles down, you may at any time invoke the color change to highlight the attractor. Here the initial conditions are (-0.67,0.02).
We have been using the word "orbit" for a long time now to mean the path in phase space that a state point follows. When we were dealing with a single cycle, or period 1 orbit there was no chance of confusion on what constituted an orbit. Now that we will work with period 2 and higher orbits, keep in mind that the orbit is the entire path from the start until it returns to the same state. An orbit under this definition may span several cycles of the forcing function.
As you can see from the plots, this attractor repeats every two cycles of the forcing function. That is made clear by the two return values that get plotted in a single orbit.