The Fibonacci unimodal map
The Fibonacci unimodal map
The recurrence of the critical orbit appeared in the work of Branner and Hubbard on complex cubic polynomials [BH, §12] and in Yoccoz's work [Yl, Y2] on quadratic ones, as the worst pattern of recurrence. On the other hand, a real quadratic map was suggested by Hofbauer and Keller [HK] …