Fluctuational phase-flip transitions in parametrically pumped oscillators
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 1997
- DOI:
- 10.48550/arXiv.physics/9711014
- arXiv:
- arXiv:physics/9711014
- Bibcode:
- 1997physics..11014D
- Keywords:
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- Physics - Optics;
- Physics - Space Physics
- E-Print:
- 11 pages, 6 figures