A dynamical theory for singular stochastic delay differential equations II: Nonlinear equations and invariant manifolds

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Date
2020
Volume
2701
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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].

Description
Keywords
Random dynamical systems, rough paths, stable and unstable manifolds, stochastic delay differential equations
Citation
Ghani Varzaneh, M., & Riedel, S. (2020). A dynamical theory for singular stochastic delay differential equations II: Nonlinear equations and invariant manifolds (Vol. 2701). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. https://doi.org//10.20347/WIAS.PREPRINT.2701
License
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