Stability of a parametrically driven, coupled oscillator system: An auxiliary function method approach

  title={Stability of a parametrically driven, coupled oscillator system: An auxiliary function method approach},
  author={Andrew M. McMillan and Yin Lu Young},
  journal={Journal of Applied Physics},
Coupled, parametric 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 long-term statistics of the oscillator system’s trajectories and stability. We present a… 

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