Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/56071
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Título : Universality in three-frequency resonances
Autor : Cartwright, Julyan H. E., González, Diego L., Piro, Oreste
Fecha de publicación : 1999
Editor: American Physical Society
Citación : Physical Review E- Statistical, Nonlinear, and Soft Matter Physics E 59: 2902–2906 (1999)
Resumen: 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.
Descripción : PACS numbers: 05.45.2a
Versión del editor: http://dx.doi.org/10.1103/PhysRevE.59.2902
URI : http://hdl.handle.net/10261/56071
ISSN: 1063-651X
DOI: 10.1103/PhysRevE.59.2902
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