Rowdy . # .

Stable/ unstable: Instead of using the terms attracting and repelling points, perhaps they could be called stable or unstable points.

These diagrams are generated by an iterative process, where the answer to a mathematical equation is used as one of the variables in the next mathematical equation - and so on, for a limited number of iterations. At the unstable points even a rounding error could send the result of an iteration to veer off to a stable point.