The same argument applies when infinity is a repelling fixed point of f (the case a < 1).
The mechanism of overheating is provided by repelling the plasma from the hot regions.
For case (a), 0 is the repelling one, and for case (b), the attracting one.
A periodic orbit is called superattracting, attracting, repelling, neutral if satisfies = 0, < 1, > 1, = 1, respectively.
We show that if f is not infinitely renormalizable, then all its periodic orbits of sufficiently high period are hyperbolic repelling.
Neither critical point is preperiodic and all other cycles are repelling.
Thus, its image contains 0 which is a repelling fixed point.
In particular, all periodic points of f^ are repelling.
