Interiors of sets of vector fields with shadowing corresponding to certain classes of reparameterizations

DOI10.3103/S1063454108040122zbMath1181.37027arXiv1010.2768OpenAlexW2063009363MaRDI QIDQ735583

Sergey B. Tikhomirov

Publication date: 23 October 2009

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2768

zbMATH Keywords

pseudo-orbitshadowing propertyreparametrizationsmooth vector fields

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (4)

Oriented and standard shadowing properties for topological flows ⋮ Lipschitz shadowing and structural stability of flows ⋮ An example of a vector field with the oriented shadowing property ⋮ Oriented shadowing property and \(\Omega\)-stability for vector fields

Cites Work

• Unnamed Item
• Structural stability of vector fields with shadowing
• Another proof for \(C^1\) stability conjecture for flows
• Shadowing in structurally stable flows
• Orbital and weak shadowing properties
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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