English

Smooth linearization of contractive random dynamical systems in continuous time

Dynamical Systems 2025-06-25 v1

Abstract

We establish that uniformly exponentially stable random dynamical systems on the half line have equivalent dynamics through a CmC^m- conjugacy. This result was obtained for random differential equations as well as for random dynamical systems with a uniformly exponentially stable linear part.

Keywords

Cite

@article{arxiv.2506.19034,
  title  = {Smooth linearization of contractive random dynamical systems in continuous time},
  author = {Iryna Vasylieva},
  journal= {arXiv preprint arXiv:2506.19034},
  year   = {2025}
}
R2 v1 2026-07-01T03:30:11.768Z