Probabilistic Shadowing for Pseudotrajectories with Decreasing Errors

DOI10.1007/S10958-024-07082-4MaRDI QIDQ6490298

Sergey B. Tikhomirov, Unnamed Author, Unnamed Author

Publication date: 23 April 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability theory for ordinary differential equations (34Dxx) Smooth dynamical systems: general theory (37Cxx) Dynamical systems with hyperbolic behavior (37Dxx)

Cites Work

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• Hölder shadowing on finite intervals
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• Numerical orbits of chaotic processes represent true orbits
• Lipschitz shadowing implies structural stability
• Extended f-orbits are approximated by orbits
• An open set of maps for which every point is absolutely nonshadowable
• Spaces of dynamical systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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