logistic_bifurcation


logistic_bifurcation, a MATLAB code which plots the bifurcation diagram for the logistic equation, by John D Cook.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

logistic_bifurcation is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

logistic_bifurcation_test

caustic, a MATLAB code which generates an image of a caustic, by drawing n equally spaced points in a circle, and then connecting specific pairs of points using a spacing parameter m.

epicycloid, a MATLAB code which plots an epicycloid curve.

fern, a MATLAB code which displays the Barnsley fractal fern.

fibonacci_spiral, a MATLAB code which displays points on a Fibonacci spiral, suggesting the arrangement of seeds in a sunflower, for instance.

hilbert_curve, a MATLAB code which computes the sequence of discrete Hilbert curves whose limit is a space-filling curve.

julia_set, a MATLAB code which computes and plots a Julia set, the set of points in the complex plane that remain bounded under a mapping of the form f(z) = z^2+c.

mandelbrot, a MATLAB code which generates an ASCII Portable Pixel Map (PPM) image of the Mandelbrot fractal set;

mandelbrot_orbit, a MATLAB code which generates the sequence of Mandelbrot iterates arising from a single starting point.

Author:

Original Python version by John D Cook. This version by John Burkardt.

Reference:

  1. John D Cook,
    Logistic bifurcation diagram in detail,
    11 January 2020,
    https://www.johndcook.com/blog/

Source Code:


Last revised on 22 August 2023.