What does it do? In one dimensional iterated maps, it is often useful to track the iterates using a stair-step diagram. DynaSys can produce these. These displays plot x against f(x) for each interate. They always feature two curves: the first is the line f(x)=x, and the second is the graph of f(x). The diagram features a line from the inital value of x up to the graph of f(x), and thence to the line, to indicate the transfer of f(x) to a new iterate. The two curves are drawn in thickly in green, while the iteration lines are drawn more thinly in a color specified by the user.
How do I use it? To create a stair step diagram, you need to draw it explicitly. Stair-step diagrams are not the default choice for any kind of equations. After drawing the diagram, you need to enter the variable to be plotted in the display dialog box. Only one variable appears. You can set the initial point for the iteration by clicking anywhere in the display. The initial point becomes the abscissa of the point you click.
What are the defaults? The default rectangle is the unit square. This display does not show tick marks by default.