Bifurcation Diagram (Logistic Map)

Traces the stable points of the Logistic Map: [math]f(x)=ax(1-x)[/math], as the parameter [math]a[/math] changes.[br][br]The y-axis plots the stable points against the parameter value on the x-axis.[br][br]If you zoom to a certain region the parameter will be constrained to only the region you can see.
What happens around [math]a=3.81[/math]?

Information: Bifurcation Diagram (Logistic Map)