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, we give some prope...

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Bibliographic Details
Main Authors: J. P. Lampreia, R. Severino, J. Sousa Ramos
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS.2005.69