From Farey sequences to resonance diagrams

Farey sequences were discovered in the beginning of the nineteenth century proving very useful in number theory. These series are found to be tightly related to tune resonance diagrams in accelerators. So far, no connection has been made between these two fields. This paper aims to serve as a bridge...

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Bibliographic Details
Main Author: R. Tomás
Format: Article
Language:English
Published: American Physical Society 2014-01-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.17.014001