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

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

1993-07-20

arxiv.org/abs/chao-dyn/9307009v1

Nonlinear Sciences

Chaotic Dynamics

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Scientific paper

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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