A genealogy for finite kneading sequences of bimodal maps on the interval
John Ringland, Charles P. Tresser · Transactions of the American Mathematical Society · 1995
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 0 , with members of length 1 1 . Concomitant with this genealogy of kneading sequences is a unified genealogy of all the periodic orbits. (See Figure 0.) Figure 0. Loci of some finite kneading sequences for a two-parameter cubic family