Hyers-Ulam stability for hyperbolic random dynamics
Dynamical Systems
2021-05-27 v2
Abstract
We prove that small nonlinear perturbations of random linear dynamics admitting a tempered exponential dichotomy have a random version of the shadowing property. As a consequence, if the exponential dichotomy is uniform, we get that the random linear dynamics is Hyers-Ulam stable. Moreover, we apply our results to study the conservation of Lyapunov exponents of the random linear dynamics subjected to nonlinear perturbations.
Cite
@article{arxiv.1909.08707,
title = {Hyers-Ulam stability for hyperbolic random dynamics},
author = {Lucas Backes and Davor Dragicevic},
journal= {arXiv preprint arXiv:1909.08707},
year = {2021}
}
Comments
Revised version. To appear in Fundamenta Mathematicae