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.
@article{arxiv.1904.12033,
title = {Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators},
author = {Richard H. Rand and Alan T. Zehnder and B. Shayak and Aditya Bhaskar},
journal= {arXiv preprint arXiv:1904.12033},
year = {2022}
}