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Open Access item Three-frequency resonances in coupled phase-locked loops

Authors:Calvo, Óscar
Cartwright, Julyan H. E.
González, Diego L.
Piro, Oreste
Sportolari, F.
Issue Date:2000
Publisher:Institute of Electrical and Electronics Engineers
Citation:IEEE Transactions on Circuits and Systems I: Regular Papers 47: 491- 497 (2000)
Abstract: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.
Identifiers:doi: 10.1109/81.841851
issn: 1057-7122
Appears in Collections:(IACT) Artículos
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