Renormalization of correlations in a quasiperiodically forced two-level system for a general class of modulation function

Andrew Osbaldestin, Luke N. C. Adamson

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Abstract

We provide a renormalization analysis of correlations in a quasi-periodically forced two-level system in a time dependent field with periodic kicks whose amplitude is given by a general class of discontinuous modulation function. For certain intensities of modulation, we give a complete understanding of the autocorrelation function. Furthermore, once the locations of the discontinuities of the modulation function are known, aperiodic orbits lead to correlations on renormalization strange sets which are determined by two specified features of the modulation function of which there are only a nite number of variations.
Original languageEnglish
Pages (from-to)035101
JournalJournal of Physics A: Mathematical and Theoretical
Volume48
Issue number3
Early online date17 Dec 2014
DOIs
Publication statusPublished - 23 Jan 2015

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