Irreducible complexity of iterated symmetric bimodal maps

  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},
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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