Pickover attractors

Information

The Pickover attractor or Clifford Attractor (named after Clifford A. Pickover) is the system of equations:

x_n+1 = sin(a y_n) + c × cos(a x_n)
y_n+1 = sin(b x_n) + d × cos(b y_n)

Any given set of values for the parameters a, b, c and d defines one specific attractor. They are attractors because the system will evolve to the same pattern for any starting point (x₀ , y₀).

This JavaScript application plots a number of attractors with various sets of parameters and also uses some variations of the above given system of equations. Try changing the color during the animation for a nice effect.

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