# Irreducible complexity of iterated symmetric bimodal maps

@article{Lampreia2004IrreducibleCO, title={Irreducible complexity of iterated symmetric bimodal maps}, author={Jorge Lampreia and Ricardo Severino and J. Sousa Ramos}, journal={Discrete Dynamics in Nature and Society}, year={2004}, volume={2005}, pages={69-85} }

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.

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