Universality in three-frequency resonances

被引：25

作者：

Cartwright, JHE ^{[1
]}

González, DL

Piro, O

机构：

[1] UGR, CSIC, IACT, Inst Andaluz Cienicas de la Tierra, E-18071 Granada, Spain

[2] CNR, Ist Lamel, I-40129 Bologna, Italy

[3] UIB, CSIC, Inst Mediterrani Estudis Avancats, IMEDA, E-07071 Palma de Mallorca, Spain

来源：

PHYSICAL REVIEW E | 1999年 / 59卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.59.2902

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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. [S1063-651X(99)14803-7].

引用

页码：2902 / 2906

页数：5