Suites Récurrentes
Author: M. Del Hierro

Voici les 8 premières valeurs de la suite
u(n+1)=λ u(n) (1-u(n))

Déplacez le point u(0) et le paramère λ et observez le comportement de la suite

λ = 1.4000000000000001 (slider from 0 to 5, step 0.1)
u_0 = Point(xAxis)
x_0: x(u_0)
λ_2(x) = λ x * (1 - x)
Lx = IterationList(λ_2, x_0, 7)
b = Element(Lx, 2)
x_1 = Element(Lx, 2)
x_2 = Element(Lx, 3)
x_3 = Element(Lx, 4)
x_4 = Element(Lx, 5)
x_6 = Element(Lx, 7)
x_7 = Element(Lx, 8)
u_1: (x_1, 0)
u_2: (x_2, 0)
u_3: (x_3, 0)
u_4: (x_4, 0)
u_6: (x_6, 0)
u_7: (x_7, 0)
x_5 = Element(Lx, 6)
u_5: (x_5, 0)
C_0: (x_0, x_1)
C_1: (x_1, x_2)
C_3: (x_3, x_4)
C_4: (x_4, x_5)
C_5: (x_5, x_6)
C_6: (x_6, x_7)
C_2: (x_2, x_3)
D_1: (x_1, x_1)
D_2: (x_2, x_2)
D_3: (x_3, x_3)
D_4: (x_4, x_4)
D_5: (x_5, x_5)
D_6: (x_6, x_6)
D_7: (x_7, x_7)
h_1 = Segment(C_0, D_1)
v_0 = Segment(C_0, u_0)
h_2 = Segment(C_1, D_2)
h_3 = Segment(C_2, D_3)
h_4 = Segment(C_3, D_4)
h_5 = Segment(C_4, D_5)
h_6 = Segment(C_5, D_6)
h_7 = Segment(C_6, D_7)
v_1 = Segment(D_1, u_1)
v_2 = Segment(D_2, u_2)
v_3 = Segment(D_3, u_3)
v_4 = Segment(D_4, u_4)
v_5 = Segment(D_5, u_5)
v_6 = Segment(D_6, u_6)
v_7 = Segment(D_7, u_7)
t_1 = Segment(D_1, C_1)
t_2 = Segment(D_2, C_2)
t_3 = Segment(D_3, C_3)
t_4 = Segment(D_4, C_4)
t_5 = Segment(D_5, C_5)
t_6 = Segment(D_6, C_6)