The Farey tree embodied — In bimodal maps of the interval

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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Bibliographic Details
Published in:Physics letters. A 1989-04, Vol.136 (7), p.379-386
Main Authors: Ringland, John, Schell, Mark
Format: Article
Language:English
Subjects:
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
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Description
Summary: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.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(89)90419-2