logistic_bifurcation

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

Licensing:

The information on this web page is 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

matlab_plots, a MATLAB code which uses plotting to illustrate a mathematical structure, such as an iterative map, a fractal, a curve or surface.

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:

• logistic_attractors.m, finds the cyclic points for a given parameter value.
• logistic_bifurcation_plot.m, plots the bifurcation diagram over a parameter range.
• logistic_map.m, executes one step of the logistic iteration for a given parameter value.