The Farey tree embodied - In bimodal maps of the interval

John Ringland; Mark Schell

doi:10.1016/0375-9601(89)90419-2

The Farey tree embodied - In bimodal maps of the interval

John Ringland
, Mark Schell

Mathematics

Southern Methodist University

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We show that the Farey tree (the nodes and the lines) and an extension of the tree, are realized as a structure in the parameter-plane of bimodal maps of the interval. A graphical construction of the U-sequence is also presented.

Original language	English
Pages (from-to)	379-386
Number of pages	8
Journal	Physics Letters A
Volume	136
Issue number	7-8
DOIs	https://doi.org/10.1016/0375-9601(89)90419-2
State	Published - Apr 17 1989

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abstract = "We show that the Farey tree (the nodes and the lines) and an extension of the tree, are realized as a structure in the parameter-plane of bimodal maps of the interval. A graphical construction of the U-sequence is also presented.",

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AU - Schell, Mark

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AB - We show that the Farey tree (the nodes and the lines) and an extension of the tree, are realized as a structure in the parameter-plane of bimodal maps of the interval. A graphical construction of the U-sequence is also presented.

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SP - 379

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JO - Physics Letters A

JF - Physics Letters A

IS - 7-8

ER -

The Farey tree embodied - In bimodal maps of the interval

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