Status

Width: Height:

Iterations:
Min r:
Max r:
Min x_{0}:
Max x_{0}:

A view of the logistic map - the iteration of
*x*_{n+1} = *rx _{n}*(1-

This version displays different values of *r* along the x-axis, different values
of *x*_{0} along the y-axis, and represents *x _{n}* as pixel
colour - black = 0, white = 1. If you click and drag on the canvas you can zoom in. Try
altering the iteration count; working through values of 0 to 20 should give you an
idea of how the map works, and 100 iterations should be fine if you don't zoom in too far.

This diagram - like so many others - shows the connection between chaos and fractals. It plots the outcomes from a chaotic system, and the result is a fractal... or at any rate tends towards being fractal as the number of iterations increases. There's a lot of self-similarity in the diagram.

Other logistic map plotters - Logistic Map Graph and Logistic Map Histograms and Bifurcation Diagram

Peter Corbett, 2014

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