September  2008, 22(3): 807-815. doi: 10.3934/dcds.2008.22.807

Fibonacci bimodal maps

1. 

Departament of Mathematics - University of São Paulo, Caixa Postal 66281, CEP 05311-970, São Paulo, SP, Brazil

Received  August 2007 Revised  March 2008 Published  August 2008

We introduce the Fibonacci bimodal maps on the interval and show that their two turning points are both in the same minimal invariant Cantor set. Two of these maps with the same orientation have the same kneading sequences and, among bimodal maps without central returns, they exhibit turning points with the strongest recurrence as possible.
Citation: Edson Vargas. Fibonacci bimodal maps. Discrete & Continuous Dynamical Systems, 2008, 22 (3) : 807-815. doi: 10.3934/dcds.2008.22.807
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