A generalized Lipschitz shadowing property for flows

DOI10.1007/s10473-023-0115-6OpenAlexW4306679348MaRDI QIDQ2088161

Manseob Lee, Bo Han

Publication date: 21 October 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-023-0115-6

zbMATH Keywords

structural stabilityflowhyperbolicityPerron propertygeneralized Lipschitz shadowing property

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Cites Work

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• Oriented shadowing property and \(\Omega\)-stability for vector fields
• Periodic shadowing of vector fields
• Generalizations of analogs of theorems of Maizel and Pliss and their application in shadowing theory
• Lipschitz shadowing and structural stability of flows
• Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
• Structural stability of vector fields with shadowing
• Existence of dichotomies and invariant splittings for linear differential systems. III
• Existence of dichotomies and invariant splittings for linear differential systems. II
• Dichotomies in stability theory
• Stability theorems and hyperbolicity in dynamical systems
• Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
• Pseudo-orbit tracing property and limit shadowing property on a circle
• Shadowing in dynamical systems
• Exponential dichotomies and transversal homoclinic points
• Diffeomorphisms with a generalized Lipschitz shadowing property
• Structural stability of vector fields
• Pseudo-orbit shadowing in the \(C^1\) topology
• \(C^1\)-stably shadowable chain components are hyperbolic
• Shadowing and hyperbolicity
• \(C^1\)-stably expansive flows
• The \(\Omega\)-stability theorem for flows
• Lipschitz shadowing implies structural stability
• Exponential Dichotomies and Fredholm Operators
• An open set of maps for which every point is absolutely nonshadowable

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