AppDynSys : Staircase Diagrams : the Logistic Map

There are a number of tools available to understand discrete-time dynamical systems (or "maps"). In 1-d, one of the best of these is the "staircase diagram" that plot time-(n+1) versus time-(n) points in the plane. The logistic map (an inverted parabola) shows of most of the available dynamical features, from stable and unstable equilibria, to periodic orbits, bifurcation sequences, and chaos.

[luja]

Excellent video of the logistic map. It will be very nice if the bifurcation diagram was building at the same time next to this.
Does your videos are under certain creative commons licence? It would be great if I may include them in my class explanations.

[univoexploration]

Hello professor Ghrist, I liked your animation which I found to be best to understand.I am willing for small suggestion from you, Could you tell me the name of programming software which can help to develop this graphs and other like this!
Or which one you are using.