Set the gain at 2.95 and the iteration number of 100. This higher iteration number may slow down the display some but will illustrate that continued iteration makes the transitions in shape more distinct. Once again vary the gain and notice what happens as you pass through 2.95, 3.45 and 3.55. Finally push the gain all the way to the limit. The lesson to learn from this is that under iteration, certain limiting values of y exist depending on the gain and possibly the initial x value where the iteration was begun. Further, we find that beyond some value of gain, the fixed limiting values fail and chaos ensues.