噪声扰动和噪声诱导振荡的有效相位描述
Effective phase description of noise-perturbed and noise-induced oscillations
摘要：
给出了一类随机相位振荡器的有效描述。为此，有效相速度由不变概率密度或通过首次通过时间来定义。虽然第一种方法具有正确的频率和分布密度，第二种方法产生适当的相位复位曲线。它们的差异是最明显的噪声引起的振荡，并与非单调性的相位波动。
英文摘要：
An effective description of a general class of stochastic phase oscillators is presented. For this, the effective phase velocity is defined either by invariant probability density or via first passage times. While the first approach exhibits correct frequency and distribution density, the second one yields proper phase resetting curves. Their discrepancy is most pronounced for noise-induced oscillations and is related to non-monotonicity of the phase fluctuations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
