Mestel, B. D. and Osbaldestin, A. H.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1088/0305-4470/37/38/005|
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Generalizing from the case of golden mean frequency to a wider class of quadratic irrationals, we extend our renormalization analysis of the self-similarity of correlation functions in a quasiperiodically forced two-level system. We give a description of all piecewise-constant periodic orbits of an additive functional recurrence generalizing that present in the golden mean case. We establish a criterion for periodic orbits to be globally bounded, and also calculate the asymptotic height of the main peaks in the correlation function.
|Item Type:||Journal Article|
|Copyright Holders:||2004 IOP Publishing Ltd|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Benjamin Mestel|
|Date Deposited:||01 Oct 2007|
|Last Modified:||02 Aug 2016 13:11|
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