The Logistic map is a prominent example of the mappings that Feigenbaum studied in his noted 1978 article: Quantitative Universality for a Class of Nonlinear Transformations Nonlinear is the Key word in His equations IMHO
Algebra and I were not close friends. I do better on spatial-relational concepts. Teaching the grandson something about that right now. We're playing Portal 2. But its a good thing for PPL to look into stuff that didn't work out, or had no immediate application at the time...because one facet of a theory seemed flawed, not to disreguard what might have merit.