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arXiv · 2506.19034

Smooth linearization of contractive random dynamical systems in continuous time

Iryna Vasylieva
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Abstract

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

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Iryna Vasylieva. 2025-06-23. Smooth linearization of contractive random dynamical systems in continuous time. https://arxiv.org/abs/2506.19034

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