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Fluctuational phase-flip transitions in parametrically pumped oscillators

M. I. Dykman·C. M. Maloney·V. N. Smelyanskiy·M. Silverstein
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Abstract

We analyze the rates of noise-induced transitions between period-two attractors. The model investigated is an underdamped oscillator parametrically driven by a field at nearly twice the oscillator eigenfrequency. The activation energy of the transitions is analyzed as a function of the frequency detuning and field amplitude scaled by the damping and nonlinearity parameters of the oscillator. The parameter ranges where the system is bi- and tristable are investigated. Explicit results are obtained in the limit of small damping (or strong driving), and near bifurcation points.

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M. I. Dykman, C. M. Maloney, V. N. Smelyanskiy, M. Silverstein. 1997-11-15. Fluctuational phase-flip transitions in parametrically pumped oscillators. https://arxiv.org/abs/physics/9711014

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