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 ...

Three-frequency resonances in coupled phase-locked loops

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 ...
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/208875
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