Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators
@article{Rand2019SimplifiedMA, 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={Nonlinear Dynamics}, year={2019}, volume={99}, pages={73-83} }
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…
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References
SHOWING 1-10 OF 20 REFERENCES
Perturbation analysis of entrainment in a micromechanical limit cycle oscillator
- Physics, Engineering
- 2007
Analysis of Frequency Locking in Optically Driven MEMS Resonators
- EngineeringJournal of Microelectromechanical Systems
- 2006
Thin, planar, radio frequency microelectromechanical systems (MEMS) resonators have been shown to self-oscillate in the absence of external forcing when illuminated by a direct current (dc) laser of…
Locking of electrostatically coupled thermo-optically driven MEMS limit cycle oscillators
- Physics, EngineeringInternational Journal of Non-Linear Mechanics
- 2018
Analysis of laser power threshold for self oscillation in thermo-optically excited doubly supported MEMS beams
- Engineering, Physics
- 2013
Bifurcation analysis of non-linear oscillators interacting via soft impacts
- Mathematics, Engineering
- 2017
Periodic orbits, basins of attraction and chaotic beats in two coupled Kerr oscillators
- Physics
- 2011
Kerr oscillators are model systems which have practical applications in nonlinear optics. Optical Kerr effect, i.e., interaction of optical waves with nonlinear medium with polarizability χ(3) is the…
Synchronization of pulse-coupled biological oscillators
- Physics
- 1990
A simple model for synchronous firing of biological oscillators based on Peskin's model of the cardiac pacemaker (Mathematical aspects of heart physiology, Courant Institute of Mathematical Sciences,…
MEMS Linear and Nonlinear Statics and Dynamics
- Economics, Engineering
- 2011
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