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Irreducible complexity of iterated symmetric bimodal maps

Irreducible complexity of iterated symmetric bimodal maps

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, …