dorsal/arxiv
View SchemaFluctuational phase-flip transitions in parametrically pumped oscillators
| Authors | M. I. Dykman, C. M. Maloney, V. N. Smelyanskiy, M. Silverstein |
|---|---|
| Categories | |
| ArXiv ID | physics/9711014 |
| URL | https://arxiv.org/abs/physics/9711014 |
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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"abstract": "We analyze the rates of noise-induced transitions between period-two\nattractors. The model investigated is an underdamped oscillator parametrically\ndriven by a field at nearly twice the oscillator eigenfrequency. The activation\nenergy of the transitions is analyzed as a function of the frequency detuning\nand field amplitude scaled by the damping and nonlinearity parameters of the\noscillator. The parameter ranges where the system is bi- and tristable are\ninvestigated. Explicit results are obtained in the limit of small damping (or\nstrong driving), and near bifurcation points.",
"arxiv_id": "physics/9711014",
"authors": [
"M. I. Dykman",
"C. M. Maloney",
"V. N. Smelyanskiy",
"M. Silverstein"
],
"categories": [
"physics.optics",
"physics.space-ph"
],
"title": "Fluctuational phase-flip transitions in parametrically pumped oscillators",
"url": "https://arxiv.org/abs/physics/9711014"
},
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"variant": "snapshot-2026-03-01",
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