2.Iterierte

4. Iterierte

3. Iterierte

a = 3.834 (slider from 0 to 4, step 0.0010)
fa(x) = a x * (1.0 - x)
h(x) = x
F_1, A = Intersect(h, fa)
fa2(x) = fa(fa(x))
F_3 = Intersect(h, fa2, 1.0)
fa4(x) = fa2(fa2(x))
fa' = Derivative(fa(x))
b = false
c = false
fa2' = Derivative(fa2(x))
m_3: fa2'(x(F_3))
fa3(x) = fa2(fa(x))
d = true
F_4 = Intersect(h, fa2, 1.0)
A = Point(xAxis)
e = OrthogonalLine(A, xAxis)
B = Intersect(fa, e, 1.0)
f = OrthogonalLine(B, e)
C = Intersect(h, f, 1.0)
g = OrthogonalLine(C, f)
D = Intersect(fa, g, 1.0)
i = OrthogonalLine(D, g)
E = Intersect(h, i, 1.0)
j = OrthogonalLine(E, i)
F = Intersect(fa, j, 1.0)
k = OrthogonalLine(F, j)
G = Intersect(h, k, 1.0)
l = OrthogonalLine(G, k)
H = Intersect(fa, l, 1.0)
m = OrthogonalLine(H, l)
I = Intersect(h, m, 1.0)
n = OrthogonalLine(I, m)
J = Intersect(fa, n, 1.0)
p = Segment(A, B)
q = Segment(B, C)
r = Segment(C, D)
s = Segment(D, E)
t = Segment(E, F)
a_1 = Segment(F, G)
b_1 = Segment(G, H)
c_1 = Segment(H, I)
d_1 = Segment(I, J)