 It specifies a function "g" and a parameter "α" by the relation
with the initial conditions
For a particular form of solution with a quadratic dependence of the solution
near x=0, "α=2.5029..." is one of the Feigenbaum constants.The Feigenbaum scaling function provides a complete description of the attractor of the logistic map at the end of the period-doubling cascade.The attractor is a Cantor set, and just as the middle-third Cantor set, it can be covered by a finite set of segments, all bigger than a minimal size "dn".