Applet for discrete dynamical systems

I’m teaching the last two weeks of one of my colleagues’ Differential Equations course. I’m leading the class through a chapter on discrete dynamical systems. In preparation for the first lecture I created a couple of java applets using Geogebra. I thought others might be interested in them, so I’m linking to them here.

The first applet illustrates the discrete logistic equation, which is given by P_{n+1}=kP_n(1-P_n).

The second applet allows the students to explore more general one-dimensional dynamical systems.