Generalizations of analogs of theorems of Maizel and Pliss and their application in shadowing theory

DOI10.3934/DCDS.2013.33.4187zbMath1277.34070arXiv1202.4338OpenAlexW2090022806MaRDI QIDQ379568

Dmitry Todorov

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4338

zbMATH Keywords

structural stabilitydifference equationshyperbolicityadmissibilitylimit shadowing

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (12)

Hölder shadowing on finite intervals ⋮ Unnamed Item ⋮ Diffeomorphisms with a generalized Lipschitz shadowing property ⋮ Probabilistic Shadowing for Pseudotrajectories with Decreasing Errors ⋮ Hölder stability for \(C^r\) central translations ⋮ Hyperbolicity, transitivity and the two-sided limit shadowing property ⋮ A generalized Lipschitz shadowing property for flows ⋮ Admissibility, a general type of Lipschitz shadowing and structural stability ⋮ Spectral analysis of differential operators with unbounded operator coefficients in weighted spaces of functions ⋮ Mañé theorem and the theory of shadowing of pseudotrajectories ⋮ From one-sided dichotomies to two-sided dichotomies ⋮ Unnamed Item

This page was built for publication: Generalizations of analogs of theorems of Maizel and Pliss and their application in shadowing theory