Shadow Lines in the Final State Diagram of the Logistic Function
f a(x) = ax (1-x)
va = f a(1/2) = a/4
f a(va) = -a3/16 + a2/4
(f a)2(va) = f a( -a3/16 + a2/4) =
(-a4/16+a3/4)(1+ a3/16 - a2/4)
= -a7/(16)2 + . . .
Shadow lines on the small scale (compare to Figure 11.39 page 635):
Shadow lines on the large scale:
The graphs of f a(va) and (f a)2(va):
