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Title: 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
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
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Citation: IEEE Transactions on Circuits and Systems I: Regular Papers 47: 491- 497 (2000)
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