Irreducible complexity of iterated symmetric bimodal maps
Dynamical Systems
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We introduce a tree structure for the iterates of symmetric bimodal maps and identify a subset which we prove to be isomorphic to the family of unimodal maps. This subset is used as a second factor for a -product that we define in the space of bimodal kneading sequences. Finally, we give some properties for this product and study the *-product induced on the associated Markov shifts.
Keywords
Cite
@article{arxiv.math/0403118,
title = {Irreducible complexity of iterated symmetric bimodal maps},
author = {J. P. Lampreia and R. Severino and J. Sousa Ramos},
journal= {arXiv preprint arXiv:math/0403118},
year = {2007}
}