Feigenbaum

This is a visualization of the emergent chaos in the Logistic map $x_{n+1}=Ax_n(1-x_n)$. The top figure shows the orbits of different initial points $x_0$ for a chosen $A$. You can choose $x_0$ by clicking on the screen, and $A$ by adjusting the slider.The bottom plot exhibits the orbits (y-axis) of a large number of randomly chosen initial points for all possible slopes $A$ (x-axis). The vertical, orange line corresponds to the slope studied in the above plot. You may press ENTER to restart the iterations, and SPACE to turn on/off the repeated iteration process.