Center manifolds for Random Dynamical Systems with generalized trichotomies
Dynamical Systems
2024-08-05 v1
Abstract
For small perturbations of linear Random Dynamical Systems evolving on a Banach space and exhibiting a generalized form of trichotomy, we prove the existence of invariant center manifolds, both in continuous and discrete-time. Furthermore, we provide several illustrative examples.
Cite
@article{arxiv.2408.01204,
title = {Center manifolds for Random Dynamical Systems with generalized trichotomies},
author = {António J. G. Bento and Helder Vilarinho},
journal= {arXiv preprint arXiv:2408.01204},
year = {2024}
}