On shadowing and Stochastic Stability
Dynamical Systems
2023-07-31 v2
Abstract
In this paper, we study stochastic stability of a dynamical system with shadowing property, which evolves under small random perturbation. We prove that time averages along the pseudo-trajectory converge with respect to stationary measure for the randomly perturbed dynamics. In particular, we prove that stationary measures converge to physical measures when the noise level goes to zero if dynamical system has a shadowing property.
Cite
@article{arxiv.2205.06852,
title = {On shadowing and Stochastic Stability},
author = {Hector Suni Puma and Christian S. Rodrigues},
journal= {arXiv preprint arXiv:2205.06852},
year = {2023}
}
Comments
10 pages