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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.

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.