Use your fingers or mouse to control the model (hold

3D trajectory of motion of a point (to the left) and graphics
*{ x(t), y(t), z(t) }* (to the right) are ploted.
Equations of the motion are

x' = a(y - x),

y' = -xz + rx - y,

z' = xy - bz.

where *a = 3, b = 1, r = 26.5*.
The point starts at *t = 0, x(0) = 1, y(0) = 0, z(0) = 0*.
3d color is changed from *red* to *violet* in accordance with the HSB
palette.

The ball oscillates around one of two centers then randomly goes to another.
For small *r* (e.g. *r = 10*) there are simple attractors only.
See Chaotic maps.

Resizable demos animated Lorenz and
Rossler band.

WebGL Demos