منابع مشابه
The Fibonacci Unimodal Map
The Fibonacci 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 Fibonacci map was suggested by Hofbauer and Keller [HK] as a possible candidate for a map having a "wild" attractor (that is, a set A which is t...
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A Fibonacci(-like) unimodal map is defined by special combinatorial properties which guarantee that the critical omega-limit set ω(c) is a minimal Cantor set. In this paper we give conditions to ensure that f |ω(c) is invertible, except at a subset of the backward critical orbit. Furthermore, any finite subtree of the binary tree can appear for some f as the tree connecting all points at which ...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1993
ISSN: 0894-0347
DOI: 10.2307/2152804