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arXiv · 2506.23217

$C^m-$ linearization of discrete random dynamical systems

Iryna Vasylieva
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Abstract

This paper establishes $C^m$ topological equivalence of nonautonomous semilinear difference equation with its linearization and generalizes the obtained results to discrete random dynamical systems, considering both, global and local, assumptions.

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Iryna Vasylieva. 2025-06-29. $C^m-$ linearization of discrete random dynamical systems. https://arxiv.org/abs/2506.23217

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