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

Analysis of Frequency Locking in Optically Driven MEMS Resonators

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

Dynamics of two strongly coupled van der pol oscillators

Bifurcation analysis of non-linear oscillators interacting via soft impacts

Periodic orbits, basins of attraction and chaotic beats in two coupled Kerr oscillators

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

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

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