Smooth linearization of contractive random dynamical systems in continuous time

2025/06/23 by Iryna Vasylieva, Vasylieva, Iryna
Engineering · Physics and Astronomy · #Control and Stability of Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Guidance and Control Systems #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2506.19034

openalex publication_date 2025/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Smoothness of Topological Equivalence on the Half Line for Nonautonomous\n Systems
• Mean Field Forward-Backward Stochastic Differential Equations
• Topological equivalence for discontinuous random dynamical systems and applications

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• C^m- linearization of discrete random dynamical systems
• Linearization and local stability of random dynamical systems
• Smooth invariant foliations without a bunching condition and Belitskii's C¹ linearization for random dynamical systems
• Random dynamical systems on a real line
• Iterated invariance principle for random dynamical systems