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.