Strange Attractor

Strange attractor is the most utilized tool, 99% of the museum collection were created using this paint. It has plenty parameters and looks a bit involved. But this is price of its flexibility. When an attractor is created two sections must be parameterized. The first section defines color animation. The second one creates a divergence function:

Attractor length of animation
energy of red of green of blue
frequency of red of green of blue
phase of red of green of blue
quality of red of green of blue
divergence harmonic or
Fourier or
pyramid

Remarks
Energy defines how quickly colors change. The more energetic colors used the faster picture closes to a mess. Normally energy of a color lays in range between 0.01 and 1.0.
Colors fluctuate as a harmonic function. Frequency is a positive number that reflects number of "peaks" it has. It may be a fractional number. Normally 1.0 is used. Phase parameter moves the peaks forth and back. It's a number expressed in either radians or degrees.
Quality may vary from nearly zero up to 100.0. It reflects the sharpness of harmonic peaks. The lower quality the smoother energy fluctuates. Zero quality flattens the function and is nonsense.
Divergence function defines design of the painting.
Example
# This one uses a harmonic divergence
Attractor 256
  energy    0.0150 0.0151 0.0152
  frequency 1 1 1
  phase     0 0 0
  quality   2 2 2
  divergence Harmonic
    angle  random[0:2pi]
    focus  0 0 
    offset 0 0 
    period 200 200
    sub-period 10000 10000
    distortion 20 20
    saturation 1

# This example with a Fourier function
Attractor 256
  energy 0.01 0.01 0.01
  frequency 1 1 1
  phase     0 0 0
  quality   1 1 1
  divergence Fourier overflow
    angle  random[0:2pi]
    focus  0 0
    offset 0 0
    scale  30 30
    saturation 0.25
    matrix 4 x 4
      5.0  0.7  0.3 -0.5
      0.9 -1.2 -0.7  1.0
      0.1  0.4  0.9 -0.2
      0.8 -1.0 -0.4  1.2
...read about harmonic divergence