What you should see is that the system starts out kind of chaos looking but then lands on a particular orbit loop which it likes. Let the model run until no new lines are appearing in the plot. Then while it is still running, click the Color button. This will reveal the stable periodic orbit.
Check this out in the Position/Velocity vs Time view if you have not done so, and scan out along thje time axis by repeated clicks on the Action button. You should be able to detect a definite periodicity in this view as well.