Probabilistic shadowing in linear skew products

DOI10.3934/dcds.2024097MaRDI QIDQ6640848

Sergey Tikhomirov, Grigorii V. Monakov

Publication date: 20 November 2024

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

zbMATH Keywords

random dynamical systemslarge deviationsshadowingnonuniform hyperbolicityskew products

Mathematics Subject Classification ID

Large deviations (60F10) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Periodic shadowing and \(\Omega \)-stability
• Shadowing in linear skew products
• Random perturbations and statistical properties of Hénon-like maps
• Do numerical orbits of chaotic dynamical processes represent true orbits?
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Stability theorems and hyperbolicity in dynamical systems
• Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
• Lyapunov exponents of linear cocycles. Continuity via large deviations
• Pseudo-orbit shadowing in the \(C^1\) topology
• Shadowing and hyperbolicity
• A survey of recent results on some statistical features of non-uniformly expanding maps
• Hölder shadowing on finite intervals
• On absolute nonshadowability of transitive maps
• Numerical orbits of chaotic processes represent true orbits
• Deviations of Trajectory Averages and the Defect in Pesin's Formula for Anosov Diffeomorphisms
• Lipschitz shadowing implies structural stability
• Small perturbations of chaotic dynamical systems
• STOCHASTIC STABILITY OF NON-UNIFORMLY HYPERBOLIC DIFFEOMORPHISMS
• Stochastic stability versus localization in one-dimensional chaotic dynamical systems
• Extended f-orbits are approximated by orbits
• An open set of maps for which every point is absolutely nonshadowable
• Strong stochastic stability and rate of mixing for unimodal maps
• Strong stochastic stability for non-uniformly expanding maps
• Probability Inequalities for Sums of Bounded Random Variables
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Probabilistic Shadowing for Pseudotrajectories with Decreasing Errors

This page was built for publication: Probabilistic shadowing in linear skew products

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6640848)