Tridimensional visualization of the Verhulst dynamics [Visualisation tridimensionnelle de la dynamique de Verhulst].

The Verhulst dynamics is defined using the following iteration:
```                    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 ==> R2 ==> R2 ==> R2 ==> R1 ==> R1 ==> R1 ==> R2 ==> R3 ==> R2 ==> R1 ==> R1 ==> R1 ==> R3 ==> R3 ==> R1 ==> R1 ==> R1 ==> R2 ==> R3 ==> R2 ==> R1 ==> R1 ==> R1 ==> R2 ==> R2 ==> R2 ==> R3 ==> R3 ==> R3
```
(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 [3.123,3.327]x[3.700,3.850]x[3.000,3.500]. Only the points corresponding to a dynamical system with a negative Lyapunov exponent are displayed.

See a bidimensionnal dynamics:

(CMAP28 WWW site: this page was created on 11/09/2010 and last updated on 08/14/2021 11:28:01 -CEST-)

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