Irreducible complexity of iterated symmetric bimodal maps
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 $\ast $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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2004
 arXiv:
 arXiv:math/0403118
 Bibcode:
 2004math......3118L
 Keywords:

 Dynamical Systems;
 Mathematical Physics;
 37E05;
 37B10;
 37E20;
 37B99