Three-Frequency Resonances in Coupled Phase-Locked Loops
نویسندگان
چکیده
We construct an experimental model of a nonlinear dynamical system with three frequencies. With this analog electronic circuit made up of quasiperiodically 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.
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تاریخ انتشار 2000