C^m- linearization of discrete random dynamical systems

2025/06/29 by Vasylieva, Iryna
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.23217

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.

Citations

• A note on the differentiability of Palmer's topological equivalence for discrete systems
• Topological Equivalence of nonautonomous difference equations with a\n family of dichotomies on the half line
• Smooth Linearization of Nonautonomous Difference Equations with a Nonuniform Dichotomy

Related

• Smooth linearization of contractive random dynamical systems in continuous time
• Topological equivalence for discontinuous random dynamical systems and applications
• Symmetries and linearization of ordinary difference equations
• Smooth invariant foliations without a bunching condition and Belitskii's C¹ linearization for random dynamical systems
• Linearization and local stability of random dynamical systems