Admissibility and generalized nonuniform dichotomies for nonautonomous Random Dynamical Systems
Dynamical Systems
2024-10-18 v1
Abstract
In this paper, we introduce generalized dichotomies for nonautonomous random linear dynamical systems acting on arbitrary Banach spaces, and obtain their complete characterization in terms of an appropriate admissibility property. These generalized dichotomies are associated to growth rates satisfying mild conditions and they include the standard exponential behavior as a very particular case. As a nontrivial application, we establish the robustness property of such dichotomies under small (linear) perturbations.
Cite
@article{arxiv.2410.13697,
title = {Admissibility and generalized nonuniform dichotomies for nonautonomous Random Dynamical Systems},
author = {Davor Dragicevic and Cesar M. Silva and Helder Vilarinho},
journal= {arXiv preprint arXiv:2410.13697},
year = {2024}
}