Lecture 2 - The logistic map

In this lecture we discussed the properties of the logistic map.

$$ x_{n+1}=\lambda x_{n}(1-x_{n})\quad\text{with}\quad n=0,1,2,3… $$

We discussed the origin of this simple one-dimensional discrete time map, learned about fixpoints, their stability and how the logistic map can exhibit chaotic behavior by the process of period doubling.

All the information about this is compiled in this interactive script.

Please have a look at the script and try to understand everything in it.