Deterministic Chaos

6.J. Bifurcation Diagrams for the

Tent Map and the Logistic Map

Looking at some histograms, can we get a sense of some features of the tent map bifurcation diagram?

We consider three examples.

s = 0.75

s = 1.25

s = 1.75

s = 0.75 For any s < 1, the xn eventually iterate to 0, so between s = 0 and s = 1 the bifurcation diagram is a horizontal line at x = 0.

Return to Bifurcation Diagrams for the Tent Map and the Logistic Map.