Nonlinear Dynamics and Chaos in Two Coupled Nanomechanical Resonators

Details Nonlinear Dynamics and Chaos in Two Coupled Nanomechanical Resonators Nonlinear Dynamics and Chaos in Two Coupled Nanomechanical Resonators

2008-11-06

arxiv.org/abs/0811.0870v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Acknowledgment and references added. Slightly shortened to fit journal requirements

Scientific paper

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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