HOME | DD

Matplotlib — Logistic bifurcation diagram

#bifurcation #fractal #fractalart #logistic #mathematics #maths
Published: 2017-03-02 22:59:13 +0000 UTC; Views: 457; Favourites: 1; Downloads: 6
Redirect to original
Description We consider the logistic sequence defined by : xn+1=µ·xn(1-xn).
For a fixed value for µ∈[0,4], we just plot all the limit points depending on all the values of u0∈[0,1], and then get this plot, which is called the bifurcation diagram.

To program this, we simply have to iterate through µ∈[2.9,4], and plot all the values of the sequence starting at a big enough index (this plots the limit points). This was made using Python.
Related content
Comments: 1

michaelbalter [2023-03-24 12:35:00 +0000 UTC]

👍: 0 ⏩: 0