Dynamics of a System of Two Coupled MEMS Oscillators

Rand, Richard H.; Zehnder, Alan T.; Shayak, B.; Bhaskar, Aditya

doi:10.1007/978-3-030-23692-2_20

Cited by 2 publications

(1 citation statement)

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“…It was shown that this model for LCOs exhibits synchronization for a coupled network of two or more oscillators, sensitive dependence on initial conditions for certain system parameters, and entrainment by an external sinusoidal drive [29], [30]. Further, prior work has been done on a simplified system of equations for the opto-thermally driven, coupled MEMS model to explain the bifurcations, and coexistence of stable dynamical states has been shown [17], [31], [32].…”

Section: Introductionmentioning

confidence: 99%

Bistability in coupled opto-thermal micro-oscillators

Bhaskar,

Walth,

Rand

et al. 2021

Preprint

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In this work, we experimentally investigate the dynamics of pairs of opto-thermally driven, mechanically coupled, doubly clamped, silicon micromechanical oscillators, and numerically investigate the dynamics of the corresponding lumpedparameter model. Coupled limit cycle oscillators exhibit striking nonlinear dynamics and bifurcations in response to variations in system parameters. We show that the input laser power influences the frequency detuning between non-identical oscillators. As the laser power is changed, different regimes of oscillations such as the synchronized state, the drift state, and the quasi-periodic state are mapped at minimal and high coupling strengths. For nonidentical oscillators, coexistence of two states, the synchronized state and the quasi-periodic state, is demonstrated at strong coupling and high laser power. Experimentally, bistability manifests as irregular oscillations as the system rapidly switches between the two states due to the system's sensitive dependence on initial conditions in the presence of noise. We provide a qualitative comparison of the experimental and numerical results to elucidate the behavior of the system.

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