Fluctuational phase-flip transitions in parametrically pumped oscillators

Details Fluctuational phase-flip transitions in parametrically pumped oscillators Fluctuational phase-flip transitions in parametrically pumped oscillators

1997-11-15

arxiv.org/abs/physics/9711014v1

Physics

Optics

11 pages, 6 figures

Scientific paper

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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