A dynamical theory for singular stochastic delay differential equations II: Nonlinear equations and invariant manifolds
arXiv:2003.03202
Abstract
Building on results obtained in [GVRS], 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 [GVR].
arXiv commentarXiv admin note: text overlap with arXiv:1903.01172