Tridimensional visualization of the Verhulst dynamics [Visualisation tridimensionnelle de la dynamique de Verhulst].
Tridimensional visualization of the Verhulst dynamics [Visualisation tridimensionnelle de la dynamique de Verhulst].
X = 0.5
0
X = RX (1 - X )
n n-1 n-1
Here, in this computation, the growing rate 'R' is no longer constant but changes its value periodically
using the following arbitrary cycle:
R3 ==> R3 ==> R3 ==> R3 ==> R2 ==> R2 ==> R2 ==> R1 ==> R1 ==> R1 ==> R1 ==> R2 ==> R2 ==> R3 ==> R3 ==> R2 ==> R1 ==> R1 ==> R1 ==> R1 ==> R2 ==> R2 ==> R3 ==> R3 ==> R2 ==> R2 ==> R1 ==> R1 ==> R1 ==> R1 ==> R1 ==> R1(based on the sine function on [0,8.pi]) where {R1,R2,R3} are respectively the three coordinates of the current point inside the following domain [2.936,3.413]x[3.500,3.850]x[3.000,4.000]. Only the points corresponding to a dynamical system with a negative Lyapunov exponent are displayed.
