Fluctuational phase-flip transitions in parametrically pumped oscillators
光学
2016-09-08 v1 空间物理
摘要
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.
引用
@article{arxiv.physics/9711014,
title = {Fluctuational phase-flip transitions in parametrically pumped oscillators},
author = {M. I. Dykman and C. M. Maloney and V. N. Smelyanskiy and M. Silverstein},
journal= {arXiv preprint arXiv:physics/9711014},
year = {2016}
}
备注
11 pages, 6 figures