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A Genealogy for Finite Kneading Sequences of Bimodal Maps on the Interval

John Ringland·Charles Tresser
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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. (6/93)

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John Ringland, Charles Tresser. 1993-07-20. A Genealogy for Finite Kneading Sequences of Bimodal Maps on the Interval. https://arxiv.org/abs/chao-dyn/9307009

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