Three-frequency resonances in coupled phase-locked loops

被引：9

作者：

Calvo, O ^{[1
]}

Cartwright, JHE

González, DL

Piro, O

Sportolari, F

机构：

[1] Univ Nacl La Plata, LEICI, La Plata, Buenos Aires, Argentina

[2] Inst Andaluz Ciencias Tierra, Granada, Spain

[3] CNR, Ist Lamel, I-40126 Bologna, Italy

[4] Univ Illes Balears, IMEDEA, Balears, Spain

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 2000年 / 47卷 / 04期

关键词：

coupled oscillators; partial mode locking; phase-locked loops; quasi-periodicity; three-frequency resonances; weak resonances;

D O I：

10.1109/81.841851

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We construct an experimental model of a nonlinear dynamical system with three frequencies. With this analog electronic circuit made up of quasi-periodically forced coupled phase-locked loops, we investigate the structure of the scaling of three-frequency resonances or lockings in the dynamics. We hypothesize and confirm experimentally that for weak coupling the three-frequency resonance with the largest frequency-locked plateau in the space of parameters in the interval between two adjacent resonances p/q and r/s is given by the mediant (p + r)/(q + s), We expect this to be universal behavior in systems of three-coupled oscillators.

引用

页码：491 / 497

页数：7

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