# Stability of a Parametrically Driven, Coupled Oscillator System: An Auxillary Function Method Approach

@inproceedings{McMillan2021StabilityOA, title={Stability of a Parametrically Driven, Coupled Oscillator System: An Auxillary Function Method Approach}, author={Andrew M. McMillan and Yin Lu Young and Mary E. Robinson}, year={2021} }

Coupled, nonlinear oscillators are often studied in applied biology, physics, fluids, and many other disciplines. In this paper, we study a parametrically driven, coupled oscillator system where the individual oscillators are subjected to varying frequency and phase with a focus on the influence of the damping and coupling parameters away from parametric resonance frequencies. In particular, we study the key long-term statistics of the oscillator system’s trajectories and stability. We present…

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