A dynamical theory for singular stochastic delay differential equations II: Nonlinear equations and invariant manifolds
Probability
2020-03-09 v1 Dynamical Systems
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].
Cite
@article{arxiv.2003.03202,
title = {A dynamical theory for singular stochastic delay differential equations II: Nonlinear equations and invariant manifolds},
author = {Mazyar Ghani Varzaneh and Sebastian Riedel},
journal= {arXiv preprint arXiv:2003.03202},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1903.01172