A zoom into the bifurcation diagram for the logistic map.
The graph is drawn by only repeating the calculation:
a * x * (1 – x)
to give a new value of x. Successive values of x, for a fixed value of a, are plotted vertically.
Further information at https://sites.google.com/site/logicedges/feigenbaum-diagram
the bifurcation diagram of a phase-modulated logistic map as r1 is varied from 0 to 1.