Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators
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Motivated by the dynamics of microscale 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.
KeywordsMicro-electromechanical systems Limit cycle oscillator Coupled oscillators Perturbation method Bifurcations
This material is based upon work supported by the National Science Foundation under Grant Number CMMI-1634664. The authors wish to thank Professor John Guckenheimer for advising them on the bifurcations involved in this paper.
Funding has been received from NSF as acknowledged above. The entire research presented here is the authors’ own. No part of this article has been reproduced from other Articles or is under consideration elsewhere.
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