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Sets of vector fields with various shadowing properties of pseudotrajectories

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Publication:1048488
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DOI10.1134/S1064562408050062zbMath1196.37049OpenAlexW1997855352MaRDI QIDQ1048488

Sergei Yu. Pilyugin, Sergey B. Tikhomirov

Publication date: 12 January 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408050062


zbMATH Keywords

trajectorypseudotrajectoryshadowing problem


Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)


Related Items (4)

Vector fields with the oriented shadowing property ⋮ 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
  • Shadowing in structurally stable flows
  • Orbital and weak shadowing properties
  • Equilibrium states and the ergodic theory of Anosov diffeomorphisms




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