Explore the 3D Iterations of the Logistic Map 🌐

http://demonstrations.wolfram.com/IteratesOfTheLogisticMapIn3D/

The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.

The logistic map is defined by the iteration xn+1=rxn(1-xn). See the sequence of values of xn reached from a grid of initial values. For small r, the behavior is simple. But as r increases, the system exhibits a series of bifurcations, eventually showing complex behavior.

By Stephen Wolfram