Animated Lorenz strange attractor

delay r
Use your fingers or mouse to control the model (hold shift key or use mouse wheel to zoom it).

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     updated 30 May 2010