# Deterministic Chaos

## 6.J. Bifurcation Diagrams for the

## Tent Map and the Logistic Map

Much of the structure of the ten t map bifurcation daigram can be understood by
looking at the first few iterates.

For example, taking x_{0} = 1/2, we plot

x_{1} = T(1/2),
x_{2} = T^{2}(1/2), x_{3} = T^{3}(1/2), and
x_{4} = T^{4}(1/2) in red,

superimposed on the bifurcation diagram in light blue. Note how the main features of the bifurcation
diagram are outlined by these first few iterates.

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