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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/56071
Title: Universality in three-frequency resonances
Authors: Cartwright, Julyan H. E.; González, Diego L.; Piro, Oreste
Issue Date: 1999
Publisher: American Physical Society
Citation: Physical Review E- Statistical, Nonlinear, and Soft Matter Physics E 59: 2902–2906 (1999)
Abstract: We investigate the hierarchical structure of three-frequency resonances in nonlinear dynamical systems with three interacting frequencies. We hypothesize an ordering of these resonances based on a generalization of the Farey tree organization from two frequencies to three. In experiments and numerical simulations we demonstrate that our hypothesis describes the hierarchies of three-frequency resonances in representative dynamical systems. We conjecture that this organization may be universal across a large class of three-frequency systems.
Description: PACS numbers: 05.45.2a
Publisher version (URL): http://dx.doi.org/10.1103/PhysRevE.59.2902
URI: http://hdl.handle.net/10261/56071
DOI: 10.1103/PhysRevE.59.2902
ISSN: 1063-651X
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