Bistability in Coupled Opto-Thermal Micro-Oscillators

Bhaskar, Aditya; Walth, Mark; Rand, Richard H.; Zehnder, Alan T.

doi:10.1109/jmems.2022.3169430

Cited by 3 publications

(1 citation statement)

References 34 publications

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“…Thus, in the present study, the laser power striking the device is ≈ 1.3 mW which is higher than the threshold laser power for limit cycle oscillations. The power is also below the threshold for irregular oscillations recently demonstrated in experiments [34]. The spectra were recorded for a frequency span of 500 kHz and a resolution bandwidth of 1 kHz.…”

Section: Resultsmentioning

confidence: 75%

Synchronization in pairs of opto-thermally driven mechanically coupled micro-oscillators

Bhaskar¹,

Walth²,

Rand³

et al. 2022

Preprint

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We study the phenomenon of synchronization in pairs of doubly clamped, mechanically coupled silicon microoscillators. A continuous-wave laser beam is used to drive the micro-beams into limit cycle oscillations and to detect the oscillations using interferometry. Devices of different dimensions are used to introduce frequency detuning, and short silicon bridges connecting the micro-beams are used as mechanical coupling between the oscillators. The region of synchronization is plotted for the MEMS system in the detuning vs. coupling parameter space and compared with the numerical analysis of a corresponding, lumped-parameter model. Three states of oscillations are observed i.e. the drift state, quasi-periodic state, and the synchronized state. The numerical model also distinguishes between in-phase and out-of-phase synchronization where out-ofphase synchronization is observed at low coupling strengths and low frequency detuning. We also show that the experimentally measured frequency fluctuations of the system reduce with an increase in coupling strength.

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Section: Resultsmentioning

confidence: 75%

Synchronization in pairs of opto-thermally driven mechanically coupled micro-oscillators

Bhaskar¹,

Walth²,

Rand³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

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Synchronization in Pairs of Opto-Thermally Driven Mechanically Coupled Micro-Oscillators

Bhaskar¹,

Walth²,

Rand³

et al. 2023

J. Microelectromech. Syst.

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Multistability and its control in a Van Der Pol oscillator coupled with Duffing oscillator through the velocity

Xiong,

Shi,

Chen

et al. 2024

Mod. Phys. Lett. B

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Self-sustained electromechanical transducers are generally built using coupled oscillators made of Van Der Pol and Duffing. In this paper, the complex dynamics of a Van Der Pol oscillator coupled with the Duffing (VDPCD) oscillator through the velocity is investigated. By exploiting nonlinear analysis techniques, several nonlinear phenomena uncovered in such types of systems are found. Among others, we have broken symmetry inducing multistability in the coupled oscillators, the phenomenon of coexisting bubble bifurcations. By employing Helmholtz’s theorem, a Hamilton energy function for the coupled model was derived. Furthermore, the famous theory of the linear augmentation method, based on the unstable equilibria of the uncontrolled model, is exploited to control the multistability of the coupled oscillators toward a regulator or a chaotic regime. A PSpice circuit was used to perform a circuit experiment, from which the results of the multistability exhibited by the coupled oscillators were further supported. At last, a microcontroller board-based experimental circuit was constructed, and the findings were corroborated by the results of the study.

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Bistability in Coupled Opto-Thermal Micro-Oscillators

Cited by 3 publications

References 34 publications

Synchronization in pairs of opto-thermally driven mechanically coupled micro-oscillators

Synchronization in pairs of opto-thermally driven mechanically coupled micro-oscillators

Synchronization in Pairs of Opto-Thermally Driven Mechanically Coupled Micro-Oscillators

Multistability and its control in a Van Der Pol oscillator coupled with Duffing oscillator through the velocity

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