A Generic Rotating-Frame-Based Approach to Chaos Generation in Nonlinear MEMS NEMS Resonators

Abstract

This work provides a low-power method for chaos generation which is generally applicable to nonlinear M/NEMS resonators. The approach taken is independent of the material, scale, design, and actuation of the device in question; it simply assumes a good quality factor and a Duffing type nonlinearity, features that are commonplace to M/NEMS resonators. The approach models the rotating-frame dynamics to analytically constrain the parameter space required for chaos generation. By leveraging these common properties of M/NEMS devices, a period-doubling route to chaos is generated using an order-of-magnitude smaller forcing than typically reported in the literature.

References in corpus (5)

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Cited by in corpus (7)

• Mesoscopic physics of nanomechanical systems
• A dynamical approach to generate chaos in a micromechanical resonator
• Bichromatic synchronized chaos in coupled optomechanical nanoresonators
• Random number generation with a chaotic electromechanical resonator
• Energy Transfer into Period-Tripled States in Coupled Electromechanical Modes at Internal Resonance
• Slow and fast topological dynamical phase transitions in a Duffing resonator driven by two detuned tones
• Mechanically Modulated Sideband and Squeezing Effects of Membrane Resonators