Over-rotation intervals of bimodal interval maps

Sourav Bhattacharya, Alexander Blokh

Published 2019-08-20Version 1

We describe all possible bimodal over-twist patterns. In particular, we give an algorithm allowing one to determine what the left endpoint of the over-rotation interval of a given bimodal map is. We then define a new class of polymodal interval maps called well behaved, and generalize the above results onto well behaved maps.