参量泵浦振荡器中的涨落相变
Fluctuational phase-flip transitions in parametrically pumped oscillators
摘要：
我们分析了噪声引起的周期两个吸引子之间的转换率。研究的模型是一个欠阻尼振荡器参数驱动的领域在近两倍的振荡器本征频率。跃迁的激活能被分析为频率失谐和场振幅的函数，由振荡器的阻尼和非线性参数缩放。研究了系统为双稳态和三稳态时的参数范围。在小阻尼（或强驱动）极限和分岔点附近得到了显式结果。
英文摘要：
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.
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