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Nonlinear dynamics of a Duffing resonator driven by two near-resonant tones
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DOI：10.1016/j.jsv.2026.120020.png)
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Abstract
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• A theory for two-tone-driven nonlinear Duffing resonators is developed. • The dynamics are mapped to the rotating frame of the primary drive. • Slow-time equations for the rotating-frame resonator are derived. • An equivalence to the single-tone Duffing oscillator is established. • Nonlinear sideband response is accurately predicted in nanomechanical beams.
Keywords:
Two-tone-driven resonator
Lightly perturbed Hamiltonian dynamics
Nonlinear dynamics in the rotating frame
Nanomechanical resonator
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