Irreducible complexity of iterated symmetric bimodal maps

J. P. Lampreia, R. Severino and J. Sousa Ramos

Discrete Dynamics in Nature and Society, 2005, vol. 2005, 1-17

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:525740

DOI: 10.1155/DDNS.2005.69

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