Nonlinear Dynamics and Chaos in Two Coupled Nanomechanical Resonators
R. B. Karabalin, M. C. Cross, M. L. Roukes
TL;DR
This paper investigates the complex nonlinear dynamics, including chaos and amplitude modulation, in two coupled nanomechanical resonators driven near resonance, supported by a theoretical model.
Contribution
It introduces a simple theoretical model that accurately predicts the nonlinear behaviors observed in coupled nanomechanical resonators.
Findings
Observation of spontaneous oscillations and amplitude modulation
Detection of period doubling transitions and chaos
Validation of theoretical predictions with experimental data
Abstract
Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizing a nanomechanical system with tunable frequency and nonlinear properties. For large vibration amplitudes the system develops spontaneous oscillations of amplitude modulation that also show period doubling transitions and chaos. The complex nonlinear dynamics are quantitatively predicted by a simple theoretical model.
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