Click the Action button to plot iterations 1000-1255. There should be a white box outlining an area of interest after plotting. If you do not see it, just move the mouse a bit. I suspect this is a manifestation of a mismatch between the Java language version in which the applet was written and the Java machine installed on your computer. We are hoping to resolve this with the next revision to the web site.
At a certain point as you look to the right along the three bands of chaos, there is an abrupt change in the attractor, sort of an explosion of chaos suddenly spread between the bands. This dramatic instantaneous change is frequently seen in the mathematics of chaos. The value of the study of attractors and chaos is that real physical systems are controlled by this mathematics. An explosion of chaos in phase-control space may turn out to mean something in the real world. Remember that chaos as we use it actually implies complexity, not an absence of rules.