Logistic Map Fixed Points Model For Mac

Logistic Map Fixed Points Model is an easy to use tool that finds periodic trajectories of the logistic map such that n iterations of the map starting with an initial value x return to that value.

The key idea for this model is that for values of the logistic map control parameter r in the chaotic regime, there are periodic but unstable trajectories.

This property of the chaotic regime means that if we choose the value of the seed x0 to be precisely equal to a point on an unstable trajectory with period n, the subsequent trajectory will have this period.

However, if we choose a value of x0 that differs ever so slightly from this special value, the trajectory will not be periodic.