![The Lorenz attractor [L'attracteur de Lorenz ]](image.jpg "The Lorenz attractor [L'attracteur de Lorenz ]")
The Lorenz attractor [L'attracteur de Lorenz].
The Lorenz attractor [L'attracteur de Lorenz].
- dx
| ---- = -10x + 10y
| dt
|
| dy
< ---- = 28x - y - xz
| dt
|
| dz 8
| ---- = - ---z + xy
- dt 3
This picture is obtained integrating these equations using the Euler
method with:
{X ,Y ,Z } = {0.01,0.01,0.01}
0 0 0
Dt = 0.01
the colors being chosen as follows:
RED = K.Dx
GREEN = K.Dy
BLUE = K.Dz
where K denotes a renormalization factor and {Dx,Dy,Dz} are the results of
the numerical integration process.