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

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)

Text, in PostScript form, is compressed and uuencoded. Figures are in Uuencoded tar-compressed bundle which expands to a directory containing 10 Postscript files one for each of the 10 figures. Total size when expanded is approximately 0.5Mb. If preferred, hard copy is available by request from the authors