The logistic map is given by the recursion relation x[n+1] = r * x[n] * (1 - x[n]),
where x[n] is in the range 0 to 1.
The Logistic Map Applet!
Here we plot the iterations of the logistic map (x=0.5), for several values of r (the horizontal axis).
We iterate many times (the 'transient iterations'), then plot the next several iterations (the 'plotted iterations').
To zoom in - drag a window around a region.
To zoom out - hold the left mouse button and drag to the upper left.
To increase the resolution - increase the 'plotted iterations'.
To increase the accuracy of the points - increase the 'transient iterations'.