Invariant manifolds for Random Dynamical Systems on Banach Spaces exhibiting generalized dichotomies
Dynamical Systems
2020-08-25 v1
Abstract
We prove the existence of measurable invariant manifolds for small perturbations of linear Random Dynamical Systems evolving on a Banach space and admitting a general type of dichotomy, both for continuous and discrete time. Moreover, the asymptotic behavior in the invariant manifold is similar to the one of the linear Random Dynamical System.
Keywords
Cite
@article{arxiv.2008.10540,
title = {Invariant manifolds for Random Dynamical Systems on Banach Spaces exhibiting generalized dichotomies},
author = {António J. G. Bento and Helder Vilarinho},
journal= {arXiv preprint arXiv:2008.10540},
year = {2020}
}
Comments
Accepted for publication in Journal of Dynamics and Differential Equations