Renormalization of correlations in a quasiperiodically forced two-level system: quadratic irrationals

Mestel, B. D. and Osbaldestin, A. H. (2004). Renormalization of correlations in a quasiperiodically forced two-level system: quadratic irrationals. Journal of Physics A: Mathematical and General, 37(38) pp. 8969–8989.

DOI: https://doi.org/10.1088/0305-4470/37/38/005

Abstract

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.

Viewing alternatives

Metrics

Item Actions

Export

You can export this page using these formats Digital Object Identifier - DOI