Fibonacci bimodal maps

被引：1

作者：

Vargas, Edson ^{[1
]}

机构：

[1] Univ Sao Paulo, Dept Math, BR-05311970 Sao Paulo, Brazil

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2008年 / 22卷 / 03期

关键词：

interval dynamics; bimodal maps; Fibonacci; kneading sequence;

D O I：

10.3934/dcds.2008.22.807

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：807 / 815

页数：9

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