2022/05/22 by Michael B. Blank, Blank, Michael
Mathematics · Physics and Astronomy · #37B10 #37C50 #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Primary: 37B65 #Quantum chaos and dynamical systems #Secondary: 37B05 #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.2205.10769
openalex publication_date 2022/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a novel unifying approach to study the shadowing property for a broad class of dynamical systems (in particular, discontinuous and non-invertible) under a variety of perturbations. In distinction to known constructions, our approach is local: it is based on the gluing property which takes into account the shadowing under a single (not necessarily small) perturbation.