For both the numerator and the denominator, enter comma separated lists of coefficients in the order of ascending degree to define a rational function. Hit the generate button to generate the basins of attraction of the function. You can click on the image to choose an initial seed and visualize the resulting orbit.

Caveat: Not all rational functions have attracting behavior.

numerator coefficients:

denominator coefficients:

zmin:
zmax:
Axes: