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A genealogy for finite kneading sequences of bimodal maps on the interval

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Abstract

We generate all the finite kneading sequences of one of the two kinds of bimodal map on the interval, building each sequence uniquely from a pair of shorter ones. There is a single pair at generation 0, with members of length 1. Concomitant with this genealogy of kneading sequences is a unified genealogy of all the periodic orbits.

Original languageEnglish
Pages (from-to)4599-4624
Number of pages26
JournalTransactions of the American Mathematical Society
Volume347
Issue number12
DOIs
StatePublished - Dec 1995

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