Building on results obtained in [21], we prove Local Stable and Unstable Manifold Theorems for nonlinear, singular stochastic delay differential equations. The main tools are rough paths theory and a semi-invertible Multiplicative Ergodic Theorem for cocycles acting on measurable fields of Banach spaces obtained in [20].

中文翻译：

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奇异随机时滞微分方程的动力学理论Ⅱ：非线性方程和不变流形

建立在[21岁]，我们证明了非线性，奇异随机时滞微分方程的局部稳定和不稳定流形定理。主要工具是粗糙路径理论和半可逆乘性遍历定理，该半定理适用于作用在[20]。