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arXiv · 1904.12033

Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators

Richard H. Rand·Alan T. Zehnder·B. Shayak·Aditya Bhaskar
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Abstract

Motivated by the dynamics of micro-scale oscillators with thermo-optical feedback, a simplified third order model, capturing the key features of these oscillators is developed, where each oscillator consists of a displacement variable coupled to a temperature variable. Further, the dynamics of a pair of such oscillators coupled via a linear spring is analyzed. The analytical procedures used are the variational equation method and the two-variable expansion method. It is shown that the analytical results are in agreement with the results of numerical integration. The bifurcation structure of the system is revealed through a bifurcation diagram.

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Richard H. Rand, Alan T. Zehnder, B. Shayak, Aditya Bhaskar. 2019-04-26. Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators. https://doi.org/10.1007/s11071-019-05182-4

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