Attractors of Linear Maps with Bounded Noise
Dynamical Systems
2023-10-06 v1
Abstract
We consider invertible linear maps with additive spherical bounded noise. We show that minimal attractors of such random dynamical systems are unique, strictly convex and have a continuously differentiable boundary. Moreover, we present an auxiliary finite-dimensional deterministic boundary map for which the unit normal bundle of this boundary is globally attracting.
Keywords
Cite
@article{arxiv.2310.03437,
title = {Attractors of Linear Maps with Bounded Noise},
author = {Jeroen S. W. Lamb and Martin Rasmussen and Wei Hao Tey},
journal= {arXiv preprint arXiv:2310.03437},
year = {2023}
}
Comments
8 pages, 1 figure